Question

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

Answer 1

m is `3/4`
c is `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=mx+c`

`(a+b)/c=a/c+b/c`

`f(x)=3/4x+5/4`

So 3/4 is `m` or the slope

And `5/4` is c or the y intercept

Answer 2

The slope is `3/4` and the y-intercept is `5/4`.

Explanation:

Given:

`f(x)=(3x+5)/4=`

`f(x)=3/4x+5/4`

The slope-intercept form of a linear equation is:

`y=mx+b`,

where:

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

Substitute `y` for `f(x)`.

`y=3/4x+5/4`

The slope is `3/4` and the y-intercept is `5/4`.

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