4y = 3x - 2. Find the x and y intercepts of the line

When solving for the y intercept

4y = 3x - 2

Substitute 0 for x.

4y = 3 (0) - 2

Multiply 3 by 0

4y = - 2

Divide both sides by 4 so that the only thing remaing on the left side is the variable x.

Final Answer: y = - 1/2

When solving for the x-intercept.

4y = 3x - 2

Substitue 0 for y

4 (0) = 3x - 2

Multiply 4 by 0

0 = 3x - 2

Add 2 to both sides

2 = 3x

divide both sides by 3 so that the only thing remaining on the right side is the variable x.

Final Answer: 2/3 = x