# How do you find the x and y intercept given y = 3x + 5?

Mar 10, 2018

$y = 5 \mathmr{and} x = - \frac{5}{3}$

#### Explanation:

To find x-intercept, the y value must equal to zero.
Hence,

$y = 3 x + 5$

$0 = 3 x + 5$

$- 5 = 3 x$

$- \frac{5}{3} = x$

Now to find y-intercept, the x value must equal to zero.
So,
$y = 3 x + 5$

$y = 3 \left(0\right) + 5$

$y = 5$