Question

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

Answer 1

Answer:

1.) y = -4x + 10

2.) y = 3x - 7

Step-by-step 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.)

$3x-y=7\\\\3x-3x-y=-3x+7\\\\\frac{-y}{-1}=\frac{-3x+7}{-1}\\\\y=3x-7$

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