Question

Which of the following is the correct point-slope equation for the line that

passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
A. Y-3 = 2.5(x-9)
B. y + 3 = 2.5(x + 9)
C. y + 9 = 2.5(x + 3)
O D. y-9 = 2.5(x-3)

Answer 1

C.
`y + 9 = 2.5(x + 3)`

Explanation:

Point-slope equation takes the form of
`y - b = m(x - a)`.

Where,

a and b area coordinates of a point the line passes through. In this case, a = -3, and b = -9

m = slope, in this case, slope will be the same as the slope value of the line it is parallel too = 2.5.

Substitute a = -3, b = -9 and m = 2.5 into
`y - b = m(x - a)`.

Thus:

`y - (-9) = 2.5(x - (-3)`

`y + 9 = 2.5(x + 3)`