# What are the intercepts of y = 4x - 5?

Nov 1, 2015

The y-intercept is $- 5$.

The x-intercept is $\frac{5}{4}$.

#### Explanation:

$y = 4 x - 5$ is in the form of the slope-intercept formula for a linear equation, $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept.

By definition, the y-intercept is $- 5$.

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

$0 = 4 x - 5$

Add $5$ to both sides.

$5 = 4 x$

Divide both sides by $4$.

$\frac{5}{4} = x$

Switch sides.

$x = \frac{5}{4}$

The x-intercept is $\frac{5}{4}$.