Question

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

y + 3 = −5(x − 2)

y − 2 = −5(x + 3)

y + 3 = −1/5(x − 2)

y − 2 = −1/5(x + 3)

Answer 1

Are you familiar with the equation of the line through two points?

(y-y1)= m(x-x1) where m is the slope and
m=(y2-y1)/(x2-x1)

The choices are given in the form of the above equation. So by applying the equation, you would be able to make your choice.

Answer 2

Hint: (−3, 2) is your point (x1,y1)

Answer 3

i did it that way and for some reason its not coming out to be none of the answers above so do you think you can exolain it some more

Answer 4

(−3, 2) is (x1,y1), so x1=-3, y1=2.
Substitute in the above equation:
y-2 = m(x-(-3))
You should be able to make your choice already!
A better way is to confirm the value of m.

Answer 5

is it c

Answer 6

y-2 = m(x-(-3))
reduces to
y-2 = m (x+3)
Is that clearer?

Answer 7

yes thank you very much

Answer 8

Great, good job!