# What is the slope and intercept of y=-3x+3?

Jan 10, 2018

See a solution process below:

#### Explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

$y = \textcolor{red}{- 3} x + \textcolor{b l u e}{3}$

Therefore:

The slope for this line is: $\textcolor{red}{m = - 3}$

The $y$-intercept for this line is: $\textcolor{b l u e}{b = 3}$ or $\left(0 , \textcolor{b l u e}{3}\right)$

Jan 10, 2018

$\text{slope "=-3," y-intercept } = 3$

#### Explanation:

$\text{the equation of a line in "color(blue)"point-slope form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$y = - 3 x + 3 \text{ is in this form}$

$\Rightarrow m = - 3 \text{ and y-intercept } = 3$
graph{(y+3x-3)((x-0)^2+(y-3)^2-0.04)=0 [-10, 10, -5, 5]}