Question

What is the slope of the line represented by the equation 3x+ 4 y=12?

A. - 4/3
B. - 3/4
C. 3/4
D. 4/3

Answer 1

B.
`-(3)/(4)`

Explanation:

3x + 4y = 12

-3x - 3x

____________

4y = -3x + 12

__ ________

4 4

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

In the Slope-Intercept Formula,
`y = mx + b`,
`m`represents the rate of change [slope].

I am joyous to assist you anytime.

Answer 2

B.-3/4

Explanation:

3x+4y=12 => 4y=-3x+12 => y=-(3/4)x+3

so the slope of the line is equal to-3/4