How do you find the slope and y intercept of 12x+3y=60?

1 Answer
Sep 29, 2015

Slope: 4
y-intercept: 20

Explanation:

Method 1
For a linear equation in standard form: Ax+By=C
XXXthe slope is m=AB
In this case A=12 and B=3
XXXso the slope is m=123=4

The y-intercept is the value of y when x=0
Replacing x with 0 in the original equation:
XXX12(0)+3y=60
XXX3=20

Method 2
Alternately, you could rearrange the expression into "slope-intercept form: y=mx+b
(with slope =m and y-intercept =b)

Given
XXX12x+3y=160
Add 12x to both sides
XXX3y=12x60
Divide by 3
XXXy=4x20
XXXXX(=4x+(20))
which is "slope-intercept form"
with slope m=4 and y-intercept=20