Question

Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (10, -5).

Answer 1

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

You need to find "m" and "b"

For lines to be parallel, the slopes have to be the same.

The given line's slope is 1/2, so the parallel line's slope is also 1/2.

y = 1/2x + b

To find "b", you can plug in the point (10, -5) into the equation.

y = 1/2x + b

-5 = 1/2(10) + b

-5 = 5 + b    Subtract 5 on both sides to get "b" by itself

-10 = b

y = 1/2x - 10    Your answer is D (you could have just found the slope to get your answer, since all the slopes are different)