# What are the intercepts of -3x+8y=6?

Apr 14, 2018

color(green)("x-intercept " = -2

color(blue)("y-intercept " = 3/4

#### Explanation:

$- 3 x + 8 y = 6$

When x = 0, we get the y-intercept.

$8 y = 6 \text{ or } y = \frac{6}{8} = \frac{3}{4}$

$\text{y-intercept } = \frac{3}{4}$

When y = 0, we get the x-intercept.

$- 3 x = 6 \text{ or } x = - 2$

$\text{x-intercept } = - 2$