# How do you find the x and y intercepts for y= 3x-4?

Nov 13, 2015

$x$ intercept: $\left(\frac{4}{3} , 0\right)$

$y$ intercept: $\left(0 , - 4\right)$

#### Explanation:

The $x$ intercept is the point of the line for which $y = 0$, so

$0 = 3 x - 4 \to 3 x = 4 \to x = \frac{4}{3}$

The $y$ intercept is the point of the line for which $x = 0$, so

$y = 3 \cdot 0 - 4 = - 4$