Question

Given the equation 4x - 3y = 12

1. Write the equation in slope-intercept form.

2. Identify the slope and y-intercept.

3. Graph the line.

4. Identify if it is a positive or negative slope.

Answer 1

see below

Explanation:

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

4x - 3y = 12

Solve for y

Subtract 4x from each side

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

-3y = -4x+12

Divide by -3

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

y = 4/3x -4

The slope is 4/3 and the y intercept is -4

The slope is Positive