Question

What is the equation in point-slope form of the line passing through (–2, 0) and (2, 8)?

Answer 1

apply two point form fomula............for this .......

Answer 2

Find the slope.
\[m=\frac{8-0}{2-(-2)}=\frac{8}{4}=2\]

Answer 3

Now choose one of the two points. I choose (-2,8) and plug into point-slope form:
\[y-y _{1}=m(x-x _{1})\]

Answer 4

\[y-8=2(x-(-2))\]
\[y-8=2(x+2)\]

\[y-8=2x+4\]
\[y=2x+12\]