Question

graph the line that passes through the points (-8,6) and (-6,3) and determine the equation of the line.
answer
equation: y = -

Explanation:

Step1: Calculate slope of the line

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Let $(x_1,y_1)=(-8,6)$ and $(x_2,y_2)=(-6,3)$.
$m=\frac{3-6}{-6-(-8)}=\frac{-3}{2}=-\frac{3}{2}$

Step2: Find y-intercept using point-slope

Use point-slope form $y-y_1=m(x-x_1)$, substitute $m=-\frac{3}{2}$ and $(-8,6)$:
$y-6=-\frac{3}{2}(x-(-8))$
$y-6=-\frac{3}{2}(x+8)$
$y-6=-\frac{3}{2}x -12$
$y=-\frac{3}{2}x -12 +6$
$y=-\frac{3}{2}x -6$

Answer:

$y = -\frac{3}{2}x - 6$