Question

Given two equations of lines : y=-2x+4 and -2y= 4x-8 how do the lines compare

Answer 1

The lines are the same if you divide both sides by -2 for the equation:-2y=4x-8 to get a slope formula. As you can see, after doing that, the equations are the same.

Explanation:

y=-2x+4

-2y=4x-8

-2y/-2=(4x-8)/2

y=-2x+4

Answer 2

They are the same line

Explanation:

When you have equations of line and want to compare them, make sure the y is isolated (by itself)

the second equation -2y = 4x-8 is not isolated

To isolate, divide both sides by -2

`(-2y)/(-2) =y`

`(4x-8)/(-2) = -2x+4`

Now you have y=-2x+4, which is the same equation as the first!

(remember that if you divide a negative number by a negative number, you will get a positive one)