Answer:
y = -2x + 23.
Step-by-step explanation:
If the line is parallel to
y = -2x - 5,
that means it has the SAME SLOPE. Parallel lines have the same slope, but they could have different y-intercepts.
The slope intercept form is:
y = mx + b.
m = slope.
b = y intercept.
In this case, the slope is -2.
So we know the answer will have a slope of -2.
So we can write:
y = -2x + b.
We just have to finish the answer by replacing "b" with a number.
To find out what "b" is, we plug in the point (8,7).
To plug this point in, we replace "x" with 8 and "y" with 7.
7 = -2(8) + b.
7 = -16 + b.
Now to get b by itself to solve for b, we have to add 16 to both sides.
7 + 16 = b.
b = 23.
So our final answer is: y = -2x + 23.
