Question

A line has a slope of 2 and passes through the point (-2,8). What is the equation of theline?

Answer 1

The general equation of line passes through the point (x_1,y_1) and has slope m is,

$y-y_1=m(x-x_1)$

Determine the equation of line passing through point (-2,8) and has slope of 2.

$\begin{gathered} y-8=2(x-(-2)) \\ y=2\cdot x+2\cdot2+8 \\ y=2x+12 \end{gathered}$

So answer is y = 2x + 12.