Question

What is the slope of the line whose equation is 12=4x−6y ? Enter your answer in the box.

Answer 1

12=4x-6y
2-(4/6)x=y

Slope is -4/6 or -2/3

Answer 2

Slope of the line 12=4x−6y is
`(2)/(3)` .

Explanation:

The slope line form is denoted by

y = mx + c

Where m is the slope and c is the y- intercept .

As given

The equation of the line is given by .

12=4x−6y

It is also written as

6y = 4x - 12

`y = (4x)/(6) -(12)/(6)`

Simplify the above

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

(Compare with y = mx + c )

Thus

`m = (2)/(3)`

Therefore the slope of the line 12=4x−6y is
`(2)/(3)` .