Question

Write the equation of the line that passes through the points (-2,-8) and (9,8).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.

Answer 1

Answer:

y = $\frac{16}{11}$x - $\frac{-56}{11}$

Step-by-step explanation:

First find the slope.  The slope is the change in y over the change in x

$\frac{8 - (-8)}{9 - (-2)}$ = $\frac{8+8}{9+2}$ = $\frac{16}{11}$

Next, find the y-intercept.  Use the slope and one of the points.  It does not matter which point that you use.  I will use the point (9,8)

y = mx + b

8 = $\frac{16}{11}$(9) + b

8 = $\frac{144}{11}$ + b  Subtract 144/11 from both sides

$\frac{-56}{11}$ = b