Question

Identify the slope and y-intercept of the inequality 8x + 2y > 12.
slope = 4, y-intercept = 6

slope = -4, y-intercept = 12

slope = -4, y-intercept = 6

slope = -1/4, y-intercept = 12

Answer 1

hint: solve 8x + 2y = 12 for y

tell me what you get when you do so

Answer 2

what value do i make y to do that

Answer 3

what do you mean?

Answer 4

i dont know how to do that can you how me please :))))

Answer 5

sure I'll show you how to do it so you can apply it to similar problems in the future

Answer 6

the goal is to isolate y, ie get it by itself

you do this by subtracting 8x from both sides, then by dividing both sides by 2 like this

8x + 2y = 12

8x + 2y - 8x = 12 -8x

2y = 12 -8x

2y = -8x + 12

2y/2 = (-8x + 12)/2

y = -8x/2 + 12/2

y = -4x + 6

Answer 7

so we go from

8x + 2y = 12

to

y = -4x + 6

Answer 8

from here, you should be able to see the slope and y-intercept

Answer 9

does that all make sense?

Answer 10

sorry i didnt see your comment yes i get that step so do you add 6 on both sides now

Answer 11

no y = -4x + 6 is in slope intercept form

Answer 12

slope intercept form is y = mx+b

Answer 13

so what is the slope m?

Answer 14

mtae... y=mx+b where m is slope and b is y intercept

Answer 15

What is the slope of y = -4x + 6?