Question

The three lines y=2x,y=6-x,and y=-2 intersect to form a triangle. What are the coordinates of the vertices of the triangle?

Answer 1

solve 3 sets

y = 2x
y = 6-x

y = 2x
y = -2

y = 6-x
y = -2

Answer 2

what do you mean by solve them?

Answer 3

y = 2x
y = 6-x
can you find "y" and "x" that satisfy the above expressions?~

Answer 4

how do i do that? i never learned this :S

Answer 5

oh ok so you have y = 2x and y = 6-x, using y = 2x, you substitute it into y = 6-x

y = 6-x substitute y = 2x
2x = 6-x + x both sides
3x = 6 divide by 3 both sides
x = 2

with x = 2, substitute into y = 2x
so you have y =4

Answer 6

that's for the first set, one of the vertex of the triangle is (2,4)
do similarly for the other 2 sets~

Answer 7

thank you!!!