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

Question

5065 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-30T02:34:27

m is $3/4$
c is $5/4$

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 · 2018-03-30T02:37:24

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

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]}

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