Question

What is -2y-8=-2x in slope intercept form

Answer 1

y= x-4

Explanation:

slope-intercept form is y=mx+b

-2y-8=-2x move the 8 over to the other side

-2y=-2x-8 divide whole equation by negative 2

this should give you, y=x-4

Answer 2

y = x -4

Explanation:

You want the equation -2y -8 = -2x written in slope-intercept form.

Solve for y

Slope-intercept form is an equation of the form y = mx + b. You can obtain this form by solving the given equation for y.

-2y -8 = -2x . . . . . . . given

2y +8 = 2x . . . . . . . . multiply by -1 (reverse all the signs)

y +4 = x . . . . . . . . . . divide by 2

y = x -4 . . . . . . . . . . subtract 4

The slope-intercept form of the equation is y = x -4.

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Additional comment

We could add 8 and divide by -2 to get the same result in fewer steps.

We find it convenient to work with as few minus signs as possible. We also find it convenient to divide by any common factor to make the equation coefficients as small as possible. (It is often easier to work with small positive numbers.) These steps are a matter of personal preference, but do tend to reduce errors.

As always, the rules of equality require any operation (multiply, divide, add, subtract) be done to both sides of the equation.

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