Question

PLEASE HELP ME!!!!

Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1)

A) y + 3 = −5(x − 2)
B) y − 2 = −5(x + 3)
C) y + 3 = −1/5(x − 2)
D) y − 2 = −1/5(x + 3)

Answer 1

the equation of a line that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)


find slope

slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(-3,2) and (2,1)
slope=(1-2)/(2-(-3))=(-1)/(2+5)=-1/5


pikc a point
if we pick (-3,2)
(x1,y1)
x1=-3
y1=2

y-2=-1/5(x-(-3))
y-2=-1/5(x+3)
that is D