How do you find the slope and y intercept for y=3-1.25x?

May 18, 2018

The slope is $- 1.25$ and the $y$- intercept is $3$.

Explanation:

The equation of a line in slope-intercept form is

$y = m x + b .$

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

Put

$y = 3 - 1.25 x$

into that form and you get....

$y = - 1.25 x + 3$

So

• $m$ is $- 1.25$
• $b$ is $3$

Have a great day!

May 18, 2018

Slope $= \left(- 1.25\right)$
y intercept $= 3$

Explanation:

One of the common ways of expressing a linear equation is in slope-intercept form.

In general the slope-intercept form looks like:
$\textcolor{w h i t e}{\text{XXX}} y = \textcolor{g r e e n}{m} x + \textcolor{red}{b}$
where $\textcolor{g r e e n}{m}$ is the slope and $\textcolor{red}{b}$ is the $y$-intercept.

The given equation $y = 3 - 1.25 x$ can be rearranged into slope-intercept form as:
$\textcolor{w h i t e}{\text{XXX}} y = \textcolor{g r e e n}{- 1.25} x + \textcolor{red}{3}$
with a slope of $\textcolor{g r e e n}{- 1.25}$ and a $y$-intercept of $\textcolor{red}{3}$