# What are the intercepts of the line Y=3x+6?

Apr 11, 2018

$\text{y-intercept "=6," x-intercept } = - 2$

#### 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"

$x = 0 \Rightarrow y = 0 + 6 = 6 \leftarrow \textcolor{red}{\text{y-intercept}}$

$y = 0 \Rightarrow 3 x + 6 = 0 \Rightarrow x = - 2 \leftarrow \textcolor{red}{\text{x-intercept}}$
graph{(y-3x-6)((x-0)^2+(y-6)^2-0.04)((x+2)^2+(y-0)^2-0.04)=0 [-14.24, 14.24, -7.12, 7.12]}