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

2 Answers
Mar 30, 2018

Answer:

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

Mar 30, 2018

Answer:

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]}