# What are the intercepts of 3x-8y=4?

Apr 7, 2018

$\frac{3}{4}$ is the x-intercept, and $- 2$ is the y-intercept

#### Explanation:

To obtain the intercepts, divide the entire equation by the constant ($- 4$ here). We get $\frac{3}{4} x - \frac{8}{4} y = 1$. The coefficient of $x$ is the x-intercept and the coefficient of $y$ is the y-intercept.

Apr 7, 2018

$\text{x-intercept "=4/3" and y-intercept } = - \frac{1}{2}$

#### Explanation:

$\text{to find the intercepts, that is where the graph crosses}$
$\text{the x and y axes}$

• " let x = 0, in the equation for y-intercept"

• " let y = 0, in the equation for x-intercept"

$x = 0 \Rightarrow 0 - 8 y = 4 \Rightarrow y = - \frac{1}{2} \leftarrow \textcolor{red}{\text{y-intercept}}$

$y = 0 \Rightarrow 3 x - 0 = 4 \Rightarrow x = \frac{4}{3} \leftarrow \textcolor{red}{\text{x-intercept}}$
graph{(y-3/8x+1/2)((x-0)^2+(y+1/2)^2-0.04)((x-4/3)^2+(y-0)^2-0.04)=0 [-10, 10, -5, 5]}