# How do you find the intercepts for y= -5/(3x)+ 2?

Jun 1, 2018

$x = \frac{6}{5}$

$y = 2$

#### Explanation:

$y = - \frac{5}{3 x} + 2$

$y = - \frac{5}{3} x + 2$

to find y intercept set x=0 and solve for y:

$y = - \frac{5}{3} \cdot 0 + 2$

$y = 2$

to find x intercept set y = 0 and solve for x:

$0 = - \frac{5}{3} x + 2$

$- 2 = - \frac{5}{3} x$

$- 2 \cdot - \frac{3}{5} = - \frac{5}{3} x \cdot - \frac{3}{5}$

$\frac{6}{5} = x$

$x = \frac{6}{5}$