Question

What is true concerning the lines graphed by the system of equations shown below 8x+6=2y 12x-3=3y

Answer 1

Answer: the lines are parallel to each other

Explanation:

First, what we can do is solve both equations for y, putting them in slope-intercept form, y = mx + b:

2y = 8x + 6 3y = 12x - 3
/ 2 / 2 / 3 / 3
y = 8x/2 + 6/2 y = 12x/3 - 3/3
y = 4x + 3 y = 4x - 1

For both equations, m = 4, or they have the same slope of 4. Lines that have the same slope are parallel to each other.

I hope this helps! :)