# How do you find the x and y intercepts of y=2x-3?

Jul 7, 2017

$x$-intercept $= 1.5$, $y$-intercept $= - 3$

#### Explanation:

To find an $x$-intercept, find where the graph of $y = 2 x - 3$ intercepts the $x$-axis. When a graph intercepts the $x$-axis, $y = 0$, so you can substitute $0$ for $y$.

$y = 2 x - 3$
$0 = 2 x - 3$
$3 = 2 x$
$x = 1.5$

Similarly, you can find the $y$-intercept by determining where the graph intercepts the $y$-axis. At this point $x = 0$, so substitute $0$ for $x$.

$y = 2 x - 3$
$y = 2 \left(0\right) - 3$
$y = 0 - 3$
$y = - 3$

The $x$-intercept is $1.5$, and the $y$-intercept is $- 3$.

You can verify this by graphing the function:
graph{2x-3 [-10, 10, -5, 5]}