Question

Graph y>x-7 and 3x+6y<_ 12

Answer 1

This is what this equation looks like when it’s graphed! :)

I hope this helps you. <3

Answer 2

y > x - 7

y = x - 7
for x = 0 → y = 0 - 7 = -7 → (0; -7)
for x = 7 → y= 7 - 7 = 0 → (7; 0)

3x + 6y ≤ 12

3x + 6y = 12 |-3x
6y = 12 - 3x |:6
y = 2 - 0.5x
for x = 0 → y = 2 - 0.5 · 0 = 2 - 0 = 2 → (0; 2)
for x = 4 → y = 2 - 0.5 · 4 = 2 - 2 = 0 → (4; 0)

Look at the picture.