Question

Where do the lines modeled by the equations y= -7/8x + 1/4 and y= -3/4x + 1/2 intersect?
A) (-4, 2)
B) (-2,2)
C) (2,-2)
D) (4,-2)

Answer 1

Since 'y' equals both of these equations....you can set them equal to each other...and solve for 'x'

\[\large -\frac{7}{8}x + \frac{1}{4} = -\frac{3}{4}x + \frac{1}{2}\]

Answer 2

Working of of what John said, you can plug the x-value you find into either of the equations to find the y-value of the intersection.

Answer 3

So how do you find where the line intersect?

Answer 4

are you there ?

Answer 5

-7/8x + 1/4 = -3/4x + 1/2 -- multiply by 8
-7x + 2 = -6x + 4
-7x + 6x = 4 - 2
-x = 2
x = -2

now sub -2 in for x in either equation to find y
y = -3/4x + 1/2
y = -3/4(-2) + 1/2
y = 6/4 + 1/2
y = 6/4 + 2/4
y = 8/4
y = 2

check.
y = -7/8x + 1/4
2 = -7/8(-2) + 1/4
2 = 14/8 + 1/4
2 = 14/8 + 2/8
2 = 16/8
2 = 2 (correct)

the lines intersect at (-2,2)