# What are the intercepts of the line y = –2x + 8?

Apr 9, 2018

the answer is $y = 8$ and $x = 4$

#### Explanation:

see this graph:https://www.desmos.com/calculator/r4vhmjhwyy
you already know that the y-int would be $8$ from the graph b/c remember the formula $y = m x + b$ and the $b$ would always be your y-int and then you just have to graph to find what the $x$ is

Apr 9, 2018

The $y$-intercept is $\left(0 , 8\right)$.
The $x$-intercept is $\left(4 , 0\right)$.

#### Explanation:

To find the $y$-intercept, plug in $0$ for $x$ and you solve to get $8$

$y = - 2 x + 8$

$y = - 2 \left(0\right) + 8$

$y = 0 + 8$

$y = 0$

To find the $x$-intercept, plug in $0$ for $y$ and you solve to get $4$

$y = - 2 x + 8$

$0 = - 2 x + 8$

$2 x = 8$

$x = 0$

Apr 9, 2018

The y-intercept is $\left(0 , 8\right)$
The x-intercept is $\left(4 , 0\right)$

#### Explanation:

y-intercept: you make $x = 0$ so y= 0+8 so y intercept is(0,8)
x-intercept: you make $y = 0$ so $0 = - 2 x + 8$$\implies$ $- 2 x = - 8$ so x-intercept is $\left(4 , 0\right)$