Question

What is an equation of the line in Point slope form that passes through the given point and has the given slope? (8, -8); Slope:3

A:y-8=3(x+8)
B:y+8=3(x+8)
C:y-8=3(x-8)
D:y+8=3(x-8)

Answer 1

It's going to be D :)

Answer 2

the equation of a line that passes through the points $(x_1,y_1)$ and has a slope of m is
$y-y_1=m(x-x_1)$

so

we want the eqaution of a line that passes through the point (8,-8) and has a slope of 3

x₁=8
y₁=-8
m=3

so
$y-y_1=m(x-x1)$
$y-(-8)=3(x-(8))$
$y+8=3(x-8)$


answer is D