Slope and Y-INT of 7y+7x+9=10+7x?

Question

I need more than the answer for this. I need an explanation of how you arrived there as well. The Y int should be a coordinate? If you can show me how to arrive at the answer, I can probably learn this.

Answer 1

7y+7x+9=10+7x
slope intercept form line equation is y = mx + b, m is slope and b is y-intercept.
Rewrite the equation in slope-intercept from.
Subtract 7x from each side
7y + 9 = 10
subtract 9 from each side
7y = 1
divide each side by 7
y = 1/7
the line is parallel to x-axis. So, line is a parallel line.
Parallel line slope is zero.