Question

How many times will the lines intersect?

Answer 1

Answer:

Hey there!

To solve this, you first want to change this into slope intercept form. (y=mx+b form)

5x-6y=4

-6y=-5x+4

y=5/6x-2/3

3y+2x=7

3y=-2x+7

y=-2/3x+7/3

Since these lines have different slopes (it means they are not parallel) they will intersect at some point.

Thus, the correct answer would be these lines would intersect once, because they only have one solution.

Let me know if this helps :)