# How do you write an equation for the line in point-slope form and in slope-intercept form x-intercept = -1/2 and y-intercept 2?

Apr 3, 2015

x-intercept $= - \frac{1}{2}$ means $\left(- \frac{1}{2} , 0\right)$ is a point on the line.
y-intercept $= 2$ means $\left(0 , 2\right)$ is a point on the line.

The slope of the line is therefore
$\frac{2 - 0}{0 - \left(- \frac{1}{2}\right)} = 4$

Using $\left(0 , 2\right)$ as our point for the point-slope form we have
$\left(y - 2\right) = 4 \left(x - 0\right)$

In slope-intercept form, that becomes
$y = 4 x + 2$