Question

What is the equation in point-slope form of the line passing through (0, 2) and (1, 5)?

Answer 1

First, find the slope. Use the slope formula.
\[m=\frac{ y_2-y_1 }{ x_2-x_1}\]
Plug in the points.
\[m=\frac{ 5-2 }{ 1-0 }\]
The slope is m = 3.
Plug it into the point slope formula along with one of the points.
\[y-y_1=m(x-x_1)\]

Answer 2

3x -y + 2 = 0

Answer 3

Right. That's a variation of y - 2 = 3(x - 0).