Question

Question and answer in the picture

Answer 1

It's a standard form: Ax + By = C

`3x-4y=12`

A slop-intercept form: y = mx + b

m - slope

b - y-intercept

Convert from the standard form to the slope-intercept form:

`3x-4y=12` subtract 3x from both sides

`-4y=-3x+12` divide both sides by (-4)

`y=(-3)/(-4)x+(12)/(-4)\\\\y=(3)/(4)x-3`

Answer:

`\boxed{m=(3)/(4)}`

Answer 2

m =3/4

Explanation:

3x-4y = 12

We need to solve for y

Subtract 3x from each side

3x-3x-4y = -3x+12

-4y = -3x+12

Divide by -4

-4y/-4 = -3x/-4 + 12/-4

y = 3/4 x -3

This is in the form y = mx+b where m is the slope and b is the y intercept

The slope is 3/4