54.8k views
4 votes
What is the slope of a line parallel to the line whose equation is 3x+4y=36. Fully simplify your answer.

User Brinley
by
6.7k points

1 Answer

3 votes

Answer:


-(3)/(4)

Explanation:

Convert the equation to slope intercept form:


y=mx+b,

as in that form,
m can be identified as the slope of the line.

First, move the x's to the right side.


3x+4y=36\\\underline{-3x \ \ \ \ } \ \ \ \ \, \underline{-3x}


4y = 36 - 3x

Then, divide both sides by 4 to isolate one multiple of y.


4y = 36 - 3x\\\overline{\ 4 \ } \ \ \ \, \overline{\, \ \ \: \ 4 \ \ \ \, \ }


y = 9 - (3)/(4)x

And reorder the right side to fit slope-intercept form.


y = - (3)/(4)x + 9

Finally, identify the slope as


-(3)/(4).

User Matthieu Rouif
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories