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

Hello!!

So, the point slope equation is y-y₁=m(x-x₁)

In order to solve this with the points (-3,2) and (2,1), you need to find the slope.

The equation to find the slope is m=(y₂-y₁)/(x₂-x₁):

m=(2-1)/(-3-2)

m= -1/5

So your slope is-1/5

Now, using the point slope equation I stated earlier, ^^^ plug in either of the points you were given (Either -3,2 or 2,1) and your slope or m value (-1/5)

I'll show you both of the possible equations:

1) Using (-3,2)

y-(2)=m(x-(-3)) OR y-(2)=m(x+3)

Add 2 to both sides

y=mx+5

Answer is y=mx+5

2) Using (2,1)

y-(1)=m(x-(2))

Add 1 to both sides

y=mx-1

Answer is y=mx-1

Hope this helps