Question

What is the slope of a line that passes through the point (−2, 3) and is parallel to a line that passes through (3, 7) and (−2, −8)?

Answer 1

m= slope = \[\frac{y2-y1}{x2-x1}\]

\[m=\frac{7-(-8)}{3-(-2)} =5\]

Parralel lines have the same slope., so the slope of both lines is 5

Answer 2

If you need to write an equation for the parallel line:
\[y-y1=m(x-x1)\]
\[y-3=5(x+2)\]
\[y=5x+10+3=5x+13\]