# How do you find the slope and intercept of y = 6 - x?

Apr 2, 2018

Intercepts are (6,0) and (0,6)

#### Explanation:

the slope is basically the gradient ie m=-1

the x-intercept is found by subbing y=0 so x=6 (6,0)

the y-intercept is found by subbing x=0 so y=6 (0,6)

Apr 2, 2018

The slope is $- 1$.

The y-intercept is $6$ and the point is $\left(0 , 6\right)$.

The x-intercept is $6$ and the point is $\left(6 , 0\right)$.

#### Explanation:

Given:

$y = 6 - x$ is a linear equation in slope-intercept in slope-intercept form:

$y = m x + b$,

where:

$m$ is the slope and $b$ is the y-intercept.

$m = - 1$ and $b = 6$

Since the y-intercept is the value of $y$ when $x = 0$, the point for the y-intercept is $\left(0 , 6\right)$.

The x-intercept is the value of $x$ when $y = 0$.

$0 = 6 - x$

$x = 6$

The x-intercept is $6$.

The point for the x-intercept is $\left(6 , 0\right)$

graph{y=6-x [-11.16, 11.34, -3.375, 7.875]}