Question

14

What would be the slope of equation #1 in the following system? (Graphing)
2x+3y=12
4x-3y=15
(Worth 10 points )
A:1/2
B: -1
C:3/4
D:-2/3

Answer 1

`m = -(2)/(3)`

Explanation:

Given

`2x+3y=12`

`4x-3y=15`

Required

Slope of #1

`2x+3y=12`

Make y the subject

`3y = -2x + 12`

Divide through by 3

`y = -(2)/(3)x + (12)/(3)`

`y = -(2)/(3)x + 4`

An equation has the form:

`y = mx + c`

Where

`m = slope`

Compare
`y = mx + c` and
`y = -(2)/(3)x + 4`

`m = -(2)/(3)`

Hence, the slope is
`-(2)/(3)`