# How do you find the intercepts for y= 4x-2?

Jul 1, 2015

To find the x-intercept, make $y$ equal to zero, and solve for $x$. To find the y-intercept, make $x$ equal to zero, and solve for $y$.

#### Explanation:

$y = 4 x - 2$

X-Intercept

$0 = 4 x - 2$

Add $2$ to both sides of the equation.

$2 = 4 x$

Divide both sides by $4$.

$\frac{2}{4} = x$

Simplify.

$\frac{1}{2} = x$

Switch sides.

$x = \frac{1}{2}$

Y-Intercept

$y = 4 \left(0\right) - 2$

$y = - 2$

graph{y=4x-2 [-12.98, 12.33, -7.64, 5.02]}