Question

Write the equation of the line that passes through (–1, 5) and has a slope of 3 in point-slope form.

A. x + 1 = 3(y – 5)
B. x – 5 = 3(y + 1)
C. y – 5 = 3(x + 1)
D. y + 1 = 3(x – 5)

Thank you!

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)`

We have:

`(-1,\ 5)\to x_1=-1,\ y_1=5\\m=3`

Substitute:

`y-5=3(x-(-1))\\\\y-5=3(x+1)`

Answer: C. y - 5 = 3(x + 1)