# How do you find the x and y intercepts for y= 2/3x + 4?

Jun 17, 2018

$x = - 6$
$y = 4$

#### Explanation:

To find the x-intercept, substitute $y = 0$ into the equation (as the graph crosses the x-axis when y is zero).

$0 = \frac{2}{3} x + 4$
$\frac{2}{3} x = - 4$
$x = - \frac{4}{\frac{2}{3}}$
$x = - 4 \cdot \left(\frac{3}{2}\right)$
$x = - 6$

Similarly, to find the y-intercept, substitute $x = 0$ into the equation.

$y = \frac{2}{3} \cdot 0 + 4$
$y = 4$

Hope this helps :)