Question

The equation of a line is 2x -2y = 6. What is the slope of the line?

Option A: -3
Option B: -1
Option C: 1/3
Option D: 1

Answer 1

move the function into y = mx + b

Answer 2

what does that look like?

Answer 3

I have no idea. I completely forgot how to do that.

Answer 4

solve for y, do you know how to do that?

Answer 5

so would you subract y from both sides?

Answer 6

jk i mean add

Answer 7

your goal is to get y by itself.

so in this equation

2x - 2y = 6

lets move our x away from our y

2x - 2x -2y = 6 - 2x

this gives us
-2y = 6 - 2x

what would be the next step?

Answer 8

divide by -2y?

Answer 9

only divide by -2 because we want y to be by itself.

so the next step would look like this

-2y / -2 = (6 - 2x) / -2

the -2's cancel out on the left.

on the right we can fix it to

6/ (-2) - (2x)/(-2)

which would reduce down so that

y= ??

Answer 10

y=-3+x?

Answer 11

correct! so now that you solved for y, you can put the equation into y = mx + b form where m is the slope.

y = x - 3

so what would be the slope, m?

Answer 12

1

Answer 13

Congratulations!! you have found the slope of your line!

Answer 14

yay thank you!! :))