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