Question

Find the slope of the line that passes through each pair of points.

1. ( 3, 1 ) and ( 6, 3)
2. ( 4, 4) and ( -1, -2)
3. ( -3, -3) and ( -4, -2)
4. ( -5, 7) and ( -1, -2)

Answer 1

ok
so here you use the slope and point slope form.
slope form is: m=(y₂-y₁)/(x₂-x₁)
point-slope form is: (y-y₁)=m(x-x₁)
so i will do one and try doing the rest!!
1. so first find the slope.
points are: (3,1) & (6,3)
so m=(3-1)/(6-3)
m=2/3
that is your slope then use the point-slope form.
you can use any one point from the two. lets use (3,1)
so (y-1)=2/3(x-3)
y-1=2/3x-2
so solve it till you have only a y on one side.
y=2/3x-1
tell me if you need help with the rest. can't do it all since you need to know how to do it.
i will give you the answers later to check
hope it helped!!!!

Answer 2

1. 2/3
2. 6/5
3. -1
4. -9/4