Question

I need to figure out how to start this-please help!

Answer 1

1.) y = -4x + 10

2.) y = 3x - 7

Explanation:

Since they're asking for slope-intercept form we must make our equation look like this:

`y=mx+b`

Where m is the slope and b is the y-intercept.

1.)
`4x+y=10`

`4x+y=10\\\\4x-4x+y=-4x+10\\\\y=-4x+10`

Note that we just need to subtract 4x on both sides. In this case the slope is -4 and the y-intercept is 10.

2.)

`3x-y=7\\\\3x-3x-y=-3x+7\\\\(-y)/(-1)=(-3x+7)/(-1)\\\\y=3x-7`

Note that we subtracted 3x on both sides then divided by -1 to get rid of the negative y. In this case our slope is 3 and our y-intercept is -7