Question

Write the equation of a line that passes through the points (2, -10) and (-4,-7)in slope-intercept form.

Answer 1

the equation is of the form y = mx + b,

$m=\frac{y2-y1}{x2-x1}=\frac{-7-(-10)}{-4-2}=\frac{-7+10}{-6}=\frac{3}{-6}=-\frac{1}{2}$

for b:

$\begin{gathered} -10=-\frac{1}{2}(2)+b \\ -10=-1+b \\ -10+1=-1+b+1 \\ b=-9 \end{gathered}$

the equation is

$y=-\frac{1}{2}x-9$