# How do you find the x and y intercept given 3x+8y=10?

Apr 17, 2018

$\text{x-intercept "=10/3," y-intercept } = \frac{5}{4}$

#### 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"

$x = 0 \Rightarrow 8 y = 10 \Rightarrow y = \frac{5}{4} \leftarrow \textcolor{red}{\text{y-intercept}}$

$y = 0 \Rightarrow 3 x + 0 = 10 \Rightarrow x = \frac{10}{3} \leftarrow \textcolor{red}{\text{x-intercept}}$