# What is the slope and y-intercept of the equation f(x)=\frac{3x+5}{4} ?

Mar 30, 2018

m is $\frac{3}{4}$
c is $\frac{5}{4}$

#### Explanation:

All we have to do is separate this into two fraction using the rule to give us the linear equation for a line $y = m x + c$

$\frac{a + b}{c} = \frac{a}{c} + \frac{b}{c}$

$f \left(x\right) = \frac{3}{4} x + \frac{5}{4}$

So 3/4 is $m$ or the slope

And $\frac{5}{4}$ is c or the y intercept

Mar 30, 2018

The slope is $\frac{3}{4}$ and the y-intercept is $\frac{5}{4}$.

#### Explanation:

Given:

$f \left(x\right) = \frac{3 x + 5}{4} =$

$f \left(x\right) = \frac{3}{4} x + \frac{5}{4}$

The slope-intercept form of a linear equation is:

$y = m x + b$,

where:

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

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

$y = \frac{3}{4} x + \frac{5}{4}$

The slope is $\frac{3}{4}$ and the y-intercept is $\frac{5}{4}$.

graph{y=3/4x+5/4 [-10, 10, -5, 5]}