What is the slope and x and y intercepts of y=2x-5?

Sep 19, 2015

The slope is $2$.
The y-intercept is $- 5$.
The X-intercept is $\frac{5}{2}$

Explanation:

$y = 2 x - 5$ is the slope-intercept form of a linear equation $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept. You find the x-intercept by setting the value of $y$ to zero.

X-intercept

$0 = 2 x - 5$

Add $5$ to both sides.

$5 = 2 x$

Divide both sides by $2$.

$\frac{5}{2} = x$

Switch sides.

$x = \frac{5}{2}$

graph{y=2x-5 [-16.02, 16.01, -8.01, 8.01]}