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

Your first step would be to find the slope. Do you know how?

Answer 2

y2-y1/ x2-x2?

Answer 3

x1*

Answer 4

Yep. Then you can plug the slope into m in the point-slope equation: \[y-y_{1}=m(x-x_{1})\]

Answer 5

Wait... huh?

Answer 6

so whatever you get as the slope goes into the "m" position. You need one point, either (-3,2) OR (2,1) for the y1 and x1 values

Answer 7

I got 4 for the slope.

Answer 8

OK, now use (-3,2) for the x1 and y1 values. It looks like the answer will be based on that point rather than (2,1) (fyi, but when you simplify them they're the same)
.

Answer 9

y-1=4(x-2)?

Answer 10

yeah, that's right but looks like the answer choices want you to use (-3,2)

Answer 11

?

Answer 12

y-2=m(x--3) which is y-2=m(x+3)
might want to check your slope.

Answer 13

...... I'm so lost.

Answer 14

sorry! :(
[slope]=m=(1-2)/(2--3)=(-1)/(2+3)=-1/5

Answer 15

So slope= -5

Answer 16

no slope is -1/5

Answer 17

oh

Answer 18

sorry for misleading you by not checking it myself earlier ~
so now, using (-3,2) as (x1,y1)\[y-2=-{1 \over 5}(x+3)\]

Answer 19

It's fine. Thank you for he help

Answer 20

sorry it took so long. hope it helped at least a little.