# How do you find x and y intercepts of x+2y-8?

Feb 1, 2018

$x = 8 \text{ and } y = 4$

#### Explanation:

$\text{this is the general equation of a straight line but should}$
$\text{be equal to zero}$

•color(white)(x)Ax+By+C=0larrcolor(blue)"general form"

$\Rightarrow x + 2 y - 8 = 0$

$\text{to find the x and y intercepts }$

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

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

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

$y = 0 \to x + 0 = 8 \Rightarrow x = 8 \leftarrow \textcolor{red}{\text{x-intercept}}$
graph{y+1/2x-4=0 [-10, 10, -5, 5]}