Question

a line passes through (6,3),(8,4), and (n,-2) find value of n

Answer 1

If points are all on the same line, then the slope has to be the same no matter what two points we use.

Take the first two points and find the slope. change in y/change in x

4 - 3 divided by 8 - 6

1/2 so the slope is 1/2

Now, set 1/2 equal to the slope equation that you create using the third point and one of the other two points. solve for n.

-2 -4 divided by n -8

-6/(n-8) = 1/2

can you finish it from here by cross multiplying and solving for n?

Answer 2

slope = (4-3)/(8-6) = 1/2

1/2 = (-2-4)/(n-8)

n-8 = -12

n = - 4

Answer 3

Whew, we agree :)

Answer 4

This is really helpful!
I wish I had this help when I was a kid.
Now I have to help my kids with homework ,and it's been 20 years so you have to refresh you memory.
Thank You!