Question

Which of following are point-slope equations of the line going through (-2,-2) and (2,2)? Check all that apply

A. Y-1=3/4(x-2)
B. Y-1=-3/4(x-2)
C. Y+2 = 3/4(x+2)
D y+2=-3/4(x+2)
E y-2=3/4(x-2)
F y-2= -3/4 (x-1)

Answer 1

(-2,-2), (2,1)
slope = (1 - (-2) / (2 - (-2) = 3/4

y - y1 = m(x - x1)
slope(m) = 3/4
using points (-2,-2)...x1 = -2 and y1 = -2
now sub and pay attention to ur signs
y - (-2) = 3/4(x - (-2)...not done yet
y + 2 = 3/4(x + 2) <=== this is one equation

y - y1 = m(x - x1)
slope(m) = 3/4
(2,1)....x1 = 2 and y1 = 1
sub
y - 1 = 3/4(x - 2) <=== here is the other equation

ur answers are A and C