# How do you find the slope and y intercept of y = 5/4x + 17/2?

Apr 12, 2018

Slope: $\frac{5}{4}$
y-intercept: $\frac{17}{2}$

#### Explanation:

The equation is written in the form $y = m x + c$ where $m$ is the slope, and $c$ is the y-intercept.

$m = \frac{5}{4}$

$c = \frac{17}{2}$

Apr 12, 2018

See a solution process below:

#### Explanation:

This equation 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.

$y = \textcolor{red}{\frac{5}{4}} x + \textcolor{b l u e}{\frac{17}{2}}$

Therefore:

• The slope of the line is: $\textcolor{red}{m = \frac{5}{4}}$

• The $y$-intercept is: $\textcolor{b l u e}{b = \frac{17}{2}}$ or $\left(0 , \textcolor{b l u e}{\frac{17}{2}}\right)$