# How do you find the x and y intercept given y=4x+4 ?

Mar 9, 2018

$y -$intercept $= 4$

$x -$intercept $= - 1$

#### Explanation:

$y = 4 x + 4$

For finding $y$-intercept , put x = 0.

$y = 4 \left(0\right) + 4$

$y = 4$

For finding $x$-intercept , put y = 0.

$0 = 4 x + 4$

$- 4 = 4 x$

$- 1 = x$

Mar 9, 2018

$- 1 \text{ and } 4$

#### 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"

$x = 0 \to y = 0 + 4 \Rightarrow y = 4 \leftarrow \textcolor{red}{\text{y-intercept}}$

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