how do you write the equation of the line that passes through the points (-9,4) and (7,-2)

Answers

Answer 1

Answer:

y = -3/8x+5/8.

Step-by-step explanation:

First, we'll find the slope. This is (y_2-y_1)/(x_2-x_1). So, we do -2 - 4 / 7 --9. This goes to -6/16. Simplifying gets us -3/8. Now, we have y= -3/8x + b. We can solve for b by plugging in points. Using the first point, it goes to 4 = 27/8+b, we can solve for b now, getting us 5/8. So, the complete equation is y = -3/8x+5/8.

Answer 2

Answer:

y = (-3/8)x + 5/8

Step-by-step explanation:

First we need to find the slope of the line connecting these two points.  Slope is represented by m and is equal to rise/run.

Going from the first point to the second, we see x increasing by 16 (this is the run) and y decreasing by 6 (this is the rise).  Thus, the slope of this line is

m = rise/run= -6/16, or -3/8.

Adapt the slope-intercept formula y = mx + b to this situation.  From the point (-9, 4) we get x = -9 and y = 4, and m = -3/8.  Then we have:

4 = (-3/8)(-9) + b, from which we get the y-intercept, b:

4 = 27/8 + b, or 32 = 27 + 8b, or 8b = 5, so that b = 5/8.

The equation describing this situation is y = (-3/8)x + 5/8.


Related Questions

PLSSS HELP THIS IS HARD ANYONE

Answers

Answer:

b: 8

Step-by-step explanation:

with dilating by 2, the B' figure would be bigger than B

because 4*2 = 8

Let f(x) = x2 − 16. Find f−1(x)

Answers

Answer:

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-16[/tex]

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]

Now, you can swap the variables again and write the function.

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

what triangle does the pythagorean theorem relate to

Answers

Answer:

Right Triangle

Step-by-step explanation:

I hope this helps!

y = 5x + 1
Table down below
Help!

Answers

Answer:

Answers below

Step-by-step explanation:

-32 -> -7.4

0 -> 1

20 -> 5

I need to understand this better so Can I please get a step by step explanation? i will give brainiest

Answers

Answer:

10 in

Step-by-step explanation:

The sides r, 10 and 20 are parallel to each other as all three are perpendicular  to same line.

The triangles are similar as two sides are on same lines and another one is parallel as described above.

Work out the value of r using ratios of corresponding sides:

(r + 10)/(10 + 20) = r/10(r + 10)/30 = r/10r + 10 = 3r2r = 10r = 5 in

Now, find the distance x from the bottom of the cone to the base of the smallest ball, using same method as above:

(x + r)/r = (x + 2r + 10)/10(x + 5)/5 = (x + 20)/102(x + 5) = x + 202x + 10 = x + 20x = 10

help me pleaseeeeeeeeee

Answers

Answer:

See image

Step-by-step explanation:

For this question, you need to know several special relationships about circles. A radius goes from the center of a circle to any point on the circle. All the radii (not a typo, plural of radius is radii) are the same size, their measures are equal; we say they are congruent (the symbol is an equal sign with a ~over it)

In the diagram, OA and OB are congruent because they are radii. AC is a tangent, that means that it touches the circle at exactly one point, in this case at A. So since OA is a radius and AC is a tangent, they are perpendicular to each other (makes 90° angles). Then we can subtract 90 - 72 to find the angle OAB. Angle OAB is 14°. In triangle AOB, which has two sides the same, the opposite angles will also be congruent which means OBA is also 14° (OR you could use the exact same logic for OB perpendicular to BC and subtract, same calculation as before) . Once you have the two 14° angles in the triangle, you can use the fact that all the angles in a triangle add up to 180° So then, 14 + 14 + x =180. Solve this equation to find angle AOB. See image.

What is the slope of the line?

Answers

Answer:

(1,1)

Step-by-step explanation:

PLS HELP
First answer- (5,0) (10,0)
Second answer- (0,1//20) (0,20)

Answers

X-intercept mean y=0

2/5x+1/10(0)=2

2/5x=2

X= 5

X-intercept = (5,0)

Y-intercept means x= 0

2/5(0)+1/10y=2

1/10y=2

y=20

Y-intercept = (0,20)

PLZ HELP DUE TODAY BRAINLIEST AND 100 POINTS


5(2.2y+1)-3
11y+5-y
11y+2

Answers

Answer:

Step-by-step explanation:

Remove the brackets

5*2.2y + 5  - 3

11y + 5 - 3

11y + 2

The answer is the last one.

[tex]\\ \rm\rightarrowtail 5(2.2y+1)-3[/tex]

Solve in between the brackets

[tex]\\ \rm\rightarrowtail 5(4y+1)-3[/tex]

[tex]\\ \rm\rightarrowtail 20y+5-3[/tex]

[tex]\\ \rm\rightarrowtail 20y+2[/tex]

[tex]\\ \rm\rightarrowtail 2(10y+1)[/tex]

Is 24 the correct LCD to use for subtracting 6 3/4 - 1 2/6 ? Why or why not?

In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example.

Subtract and reduce to lowest terms: 9/10 - 3/10.

PLEASE HELP ASAP

Answers

Answer:

Step-by-step explanation:

A

No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.

B

Factor each number into it's primes.

24 = 2*2*2*3

32 = 2*2*2*2*2

The highest common factor is 2*2*2 = 8

C

9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.

6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2


the histogram shows the GPAs of the students in george’s class. Estimate the mean of the data set displayed in the histogram.

Answers

Using the histogram, the mean of the data-set is estimated to be of 31.

The mean, given an histogram, is the sum of the halfway points of each interval multiplied by it's relative frequency.

In this problem, the intervals and relative frequencies are:

The first interval has halfway point 23 and relative frequency [tex]\frac{4}{30}[/tex].The second interval has halfway point 28 and relative frequency [tex]\frac{8}{30}[/tex].The third interval has halfway point 33 and relative frequency [tex]\frac{14}{30}[/tex].The fourth interval has halfway point 38 and relative frequency [tex]\frac{4}{30}[/tex].

Hence, the mean is:

[tex]E(X) = 23\frac{4}{30} + 28\frac{8}{30} + 33\frac{14}{30} + 38\frac{4}{30} = \frac{23(4) + 28(8) + 33(14) + 38(4)}{30} = 31[/tex]

For more on mean of histograms, you can check https://brainly.com/question/24651197

I'm having trouble. Can someone answer?


Answers

Answer:

okay wait

Step-by-step explanation:

Find the value of x

please helppppp!!!!

Answers

Answer:

  x = 3

Step-by-step explanation:

The two marked angles form a linear pair, so are supplementary. Their sum is 180°.

  (3x +136)° +(5x +20)° = 180°

  8x +156 = 180 . . . . . . . . . . . divide by °, collect terms

  8x = 24 . . . . . . . . . . . . . . subtract 156

  x = 3 . . . . . . . . . . . . . . divide by 8

_____

Additional comment

We suspect the intended answer for the second question is A 25° and 65°. These are possible measures for the acute angles in a right triangle, which must total 90°. No angle will be more than 90° (eliminates C and D), and the two smallest angles must total 90° (eliminates B).

Please solve this . ​

Answers

The graph shows the linear function. I hope this helps.

Find the area of the trapezoid

Answers

Answer:

18000

Step-by-step explanation:

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore,

Area of the given trapezoid

[tex] = \frac{a + b}{2} c[/tex]

[On putting values]

[tex] = \frac{175 + 185}{2} \times 100[/tex]

[On Simplification]

= 360 × 50

[On multiplying]

= 18000

Hence,

The required area of the given trapezoid is 18000 (Ans)

Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.
What is the least number of each he could buy to have the same number of stamps and envelops?

Please show work

Answers

Answer:

70

Step-by-step explanation:

the least common multiple of 10 and 14 will be the answer

the prime factorization of 10 is 2 and 5

the prime factorization of 14 is 2 and 7

so you can multiply the number in common, 2, by the ones not common, 5 and 7

2 x 5 x 7 = 70

Simplify (x-4) (x^2 + 3x + 2)

Answers

Answer:

x^3-x^2-10x-8

Multiply each term in the first expression by each term in the second expression and combine like terms.

what is 7 × 6 − 6 × 2 ÷ 8 + 99 − 5 ÷ 3 × 4
help me plz

Answers

132.8333333333333 is the answer

Plzzzz help meeeeee plzzzzzzz

Answers

the answer is 120 because if you multiply 0.40 aka 40% by 300 you will get 120

Answer:

120

Step-by-step explanation:

To find the answer, multiply 300 with 0.40

To confirm this answer, divide 120 by 0.40

Question 3(Multiple Choice Worth 1 points)
(01.05 LC)

Which calculation can be used to find the value of y in the equation y3 = 27?

y=y equals 27 over 3
y=y equals cube root of 27
y=y equals square root of 27 over 3
y=y equals square root of 27

Answers

Answer:

y = y is equal to 27 over 3

Step-by-step explanation:

being y3 = 27

the y3 is found by multiplying and is passed to the other side by dividing, becoming y = 27/3

What is the domain of the equation shown in the graph?


Question options:

All real numbers
x= ≤ -1
x≥-1
x≤0

Answers

Answer:

All real numbers.

Step-by-step explanation:

The domain is the range of values of x.

The graph goes on without bounds to - infinity and positive infinity.

write a linear function f with given values. ​

Answers

Answer:

given slope of 2 and a y intercept of 0

f(x) = 2x

What is the value of the function y= 3x - 1 when x=-1?
-
-8
-4
O 2
06
Need help now

Answers

Answer:

-4

Step-by-step explanation:

y=3x - 1                      x= -1

y = 3(-1) -1

y = -3 -1

y= -4

3. There are 12 red balloons and 14
blue balloons in the bouquet.
What is the ratio of red balloons to blue balloons?

Answers

Answer:

6:7

Step-by-step explanation:

Divide 12 and 14 by 2 to simplify the ratio.

Answer: 6:7

Step-by-step explanation:

The number of red balloons in 12 and the number of blue ones is 14, which can be written as 12:14. 12:14 can be simplified to 6:7

hello, please answer
if
[tex]\frac{a}{b} = \frac{c}{d} = \frac{2}{5}[/tex]
then what is the answer of :
[tex]\frac{a + 3c + 4}{b + 3d + 10}[/tex]

Answers

Step-by-step explanation:

[tex]{ \rm{a = c = \frac{2}{5} b}} \\ \\ { \rm{b = d = \frac{5}{2} a}}[/tex]

• Substitute:

[tex]{ \rm{ \frac{a + 3c + 4}{b + 3d + 10} = \frac{ \frac{2}{5} b + \frac{6}{5}b + 4 }{ b + \frac{15}{2} b + 10} }} \\ \\ = { \rm{ \frac{ \frac{8}{5} b + 4}{ \frac{17}{2}b + 10 } }} \\ \\ { \rm{}}[/tex]

please solve this problem using the foil method
[tex] {x}^{2} - 9[/tex]

Answers

Answer:

This is already in its simplest form, but if you set the equation equal to zero, it's (x-3)(x+3).

Step-by-step explanation:

x^2-9=0

a= 1

b=0

c=-9

Factors of c (-9) that add up to make b (0): -3, 3

(x-3)(x+3)

we know:   [tex]a^2-b^2=(a+b)(a-b)[/tex]

So:    [tex]x^{2} -9=x^{2} -3^2=(x+3)(x-3)[/tex]

Ok done. Thank to me :>

1.25 as a fraction is what

Answers

Answer:

5/4

Step-by-step explanation:

Plzzzz help mee plzzzzz plzzzzz

Answers

Answer:

1. B

2. Seven Hundred thousand nine hundred and four

Step-by-step explanation:

PLEASE HELPPPPP!!!

Find the slope and y-intercept of the graph of each question:

1. y=6x+11
(pretty sure 6 is the slope and 11 is the y-intercept... pls correct me if me wrong)

2. y=x+6
(1 is the slope and 6 is the y-intercept??)

Answers

Answer:

1.   slope = 6,  y-intercept = 11

2.  slope = 1,  y-intercept = 6

Answer:

you are correct

Step-by-step explanation:

6 is the slope and 11 is the y-intercept

1 is the slope and 6 is the y-intercept

Choose a midsegment of LJK.
A)LO
B)MK
C)OM
D)LN

Answers

Answer:

B

Step-by-step explanation:

that's my answer hope it helps ✨

The mid segment can be MK or LO or LN.

What is Mid segment?

The line segment that joins the midpoints of two triangle sides is known as a midsegment. Each triangle has three midsegments since a triangle has three sides. A triangle's midsegment is half the length of the third side and runs parallel to the third side of the triangle.

Given:

We know that the Midsegment is generally formed  by the mid points of the line.

But, for Mid Segment of LJK we can write

Mid Segment= 1/2 x Triangle Base

                     = 1/2 x JK (or LK or LJ)

                     = MK or LO or LN

Hence, the mid segment can be MK or LO or LN.

Learn more about Mid segment here:

https://brainly.com/question/15381486

#SPJ2

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