Question

slope-intercept from two lines (-9,7) and (-6,-3)

Answer 1

We have the following:

We must calculate the slope through the points:

$m=\frac{y_2-y_1}{x_2-x_1_{}}_{}$

(x1, y1) = (-9, 7)

(x2, y2) = (-6, -3)

replacing:

$m=\frac{-3-+7}{-6-(-9)}=\frac{-3-7}{-6+9}=-\frac{10}{3}$

for b,

$y=mx+b$

x = -9

y = 7

m = -10/3

replacing:

$\begin{gathered} 7=-\frac{10}{3}\cdot-9+b \\ 7=30+b \\ b=-23 \end{gathered}$

Therefore, the equation is:

$y=-\frac{10}{3}x-23$