16.5k views
3 votes
What is the slope of the line represented by the equation

3
x
+
4
y
=
8
?

User NightMICU
by
5.3k points

1 Answer

4 votes

Answer:

The slope is -3/4

Explanation:

3x+4y = 8

We want to get the equation in slope intercept form

y = mx+b where m is the slope

Subtract 3x from each side

3x+4y-3x= -3x+8

4y = -3x+8

Divide by 4

4y/4 = -3x/4 +8/4

y = -3/4x +2

The slope is -3/4 and the y intercept is 2

User DeannaD
by
5.7k points