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)

$y=\dfrac{-3}{-4}x+\dfrac{12}{-4}\\\\y=\dfrac{3}{4}x-3$

Answer:

$\boxed{m=\dfrac{3}{4}}$

Answer 2

Answer:

m =3/4

Step-by-step 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