Question

Write the equation of the line that Passes through (-9,4) and 10,-2)

Answer 1

Answer: The first thing we need to do is find the slope--the rise over run. We can find it by using the formula:

(y2 - y1) / (x2 - x1), that is we subtract the x an y values of our two points and then divide:

(-4 - -10) / (9 - 9)

(-4 + 10) / (9 - 9)

6 / 0

We cannot divide by 0. Our slope is essentially infinity, or a straight line up and down. This means we take a look at the x-coordinate: 9. This means our equation is:

x = 9

because no matter what we use for y, x will always stay at 9

Step-by-step explanation:

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Answer 2

Answer:

y = -6/19x - 2

Step-by-step explanation:

First we need to find the slope and we can do that by using slope-intercept form [ y2-y1/x2-x1 ].

-2-4/10-(-9)

-6/19

Second we can find the y-intercept using slope intercept form [ y = mx + b], the slope, and a given point.

y = -6/19x + b

4 = -6/19(-9) + b

4 = 54/19 + b

-2 = b

Third we will input all the data we solved for back into the formula.

y = -6/19x - 2

Best of Luck!