Hey there! I'm happy to help!
Lines that are parallel have the same slopes because they are increasing or decreasing at the same rate and therefore will never bump into each other.
We see that y=2 has a slope of 0 because there is no x that we can see in the equation. This is just a flat line.
If the line we are looking for is flat; it stays at the same y-value the entire time. We see that the y-value for this line of ours is -6. Therefore, the answer is C. y=-6.
I hope that this helps! Have a wonderful day!
y=3x+5
plug your coordinate points into the equation for slope (left corner or the paper)
multiply by the denominator on both sides of the equation
x-6 cancels out and leaves y-23=3(x-6)
multiply x and -6 by 3
add 23 to both sides to isolate y
hope this helps!
