Question

Line t has an equation of y=1/8​(x−5). Line u, which is parallel to line t, includes the point (8, –7). What is the equation of line u?

A. y=1/8​(x−5)−12
B. y=1/8​(x−5)−7
C. y=1/8​(x−5)+7
D. y=1/8​(x−5)+12

Answer 1

The parallel line that passes through (8, -7) is y = (1/8)*x - 8

What is the equation of line u?

Two lines are parallel if the slope of the lines is the same one, and the y-intercept is different.

So, we start with the line:

y = (1/8)*(x - 5)

The slope is (1/8)

Now we want to find the equation of the parallel line, we can write it as:

y = (1/8)*x + b

We want this line to pass throug (8, -7), then we can write:

-7 = (1/8)*8 + b

-7 = 1 + b

-7 - 1 = b

-8 = b

Then we have:

y = (1/8)*x - 8

Now, none of the options match this equation, so there may be a typo in the question.