Question 389119
8x-2y=16

To find the x-intercept, substitute in 0 for y and solve for x.
8x-2(0)=16

Multiply -2 by each term inside the parentheses.
8x+0=16

Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
8x=16

Divide each term in the equation by 8.
(8x)/(8)=(16)/(8)

Simplify the left-hand side of the equation by canceling the common factors.
x=(16)/(8)

Simplify the right-hand side of the equation by simplifying each term.
x=2

To find the y-intercept, substitute in 0 for x and solve for y.
8(0)-2y=16

Multiply 8 by each term inside the parentheses.
0-2y=16

Combine all similar expressions.
-2y=16

Divide each term in the equation by -2.
-(2y)/(-2)=(16)/(-2)

Simplify the left-hand side of the equation by canceling the common factors.
y=(16)/(-2)

Solve the equation.
y=-8

These are the x and y intercepts of the equation 8x-2y=16.
x=2, y=-8