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

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Answer 1 · 2018-03-30T02:34:27

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

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

$\frac{a + b}{c} = \frac{a}{c} + \frac{b}{c}$ $(a+b)/c=a/c+b/c$

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

So 3/4 is $m$ $m$ or the slope

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

Answer 2 · 2018-03-30T02:37:24

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

Given:

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

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

The slope-intercept form of a linear equation is:

$y = m x + b$ $y=mx+b$ ,

where:

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

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

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

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

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)=3x+54f(x)=\frac{3x+5}{4} ?