Question

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

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)