# How do you find the slope and y intercept of y=-3/4x+3?

Feb 8, 2016

Slope: $\left(- \frac{3}{4}\right) \textcolor{w h i t e}{\text{XXXXXXXX}}$y-intercept: $3$

#### Explanation:

Any linear equation of the form:
$\textcolor{w h i t e}{\text{XXX}} y = \textcolor{b l u e}{m} x + \textcolor{red}{3}$
is in "slope-intercept form"
with slope $= \textcolor{b l u e}{m}$ and y-intercept $= \textcolor{red}{b}$

$y = \textcolor{b l u e}{- \frac{3}{4}} x + \textcolor{red}{3}$
is in this form
so slope $= \textcolor{b l u e}{- \frac{3}{4}}$ and y-intercept $= \textcolor{red}{3}$

Feb 8, 2016

slope $= - \frac{3}{4}$
y-intercept = 3

#### Explanation:

One form of the equation of a straight line is y = mx + c , often referred to as the slope-intercept form.

In y = mx + c , m , represents the gradient (slope ) and c , the y-intercept.

hence an equation in this form allows access to m and c .

therefore for $y = - \frac{3}{4} x + 3$

slope $= - \frac{3}{4} \textcolor{b l a c k}{\text{ and y-intercept }} = 3$