Question

Write each equation in Slope-Intercept Form, if possible. Identify the slope and

y-intercept if they exist. Can you leave a detailed explanation please. Thank you
6x − 4y = 24

Answer 1

slope intercept form: y = mx + b

6x - 4y = 24

4y = 6x - 24

y = 3/2x - 6

slope: 3/2

y intercept: - 6

Answer 2

y = 3/2 x -6

The slope is 3/2 and the y intercept is -6

Explanation:

6x-4y = 24

The slope intercept form is

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

We need to solve the equation for y

6x-4y =24

Subtract 6x from each side

6x-4y-6x =-6x+24

-4y = -6x+24

Divide each side by -4

-4y/-4 = -6x/-4 + 24/-4

y = 3/2 x -6

The slope is 3/2 and the y intercept is -6