# How do you find the slope and intercept of g(x)=2-3x?

May 10, 2018

The slope is $- 3$ and the y-intercept is $2$.

#### Explanation:

The slope-intercept form for a linear equation is:

$y = m x + b$,

where:

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

Given:

$g \left(x\right) = 2 - 3 x$

Substitute $y$ for $g \left(x\right)$.

$y = 2 - 3 x$

Rewrite the equation.

$y = - 3 x + 2$

$m = - 3$

$b = 2$

The slope is $- 3$ and the y-intercept is $2$.

graph{y=2-3x [-10, 10, -5, 5]}