Answer: y = 2x + 8
Step-by-step explanation:
This is a fairly simple problem. I hope this helps!
So, to find a line parallel, it's simple, and it only requires that for the other line to have the same slope and a different y-intercept (or same "m" and different "b" in the equation y = mx + b).
To find a line parallel to a point is slightly harder, but don't worry, I'll teach you how.
To do this, we have to recognize the point. The point given is (-2, 4) where -2 is the x-value and 4 is the y-value. Remember, points always go by (x, y).
So, we set y to 4, and we set x to -2.
When testing out lines that are parallel to a point, you must always be careful that you end up with the same value. Such as 4 = 4 or 8 = 8, etcetera.
We get:
4 = 2 × (-2) + 8
Simplifying, we get:
4 = -4 + 8
Adding -4 to 8, we get 4:
4 = 4
Thus, y = 2x + 8 is parallel to the point (-2, 4)