Question

using the concept of slope ,find t such that the three points are collinear: (-3,3) (t,-1) (8,6)

Answer 1

collinear= same line, correct?

Answer 2

Find the line, plug in -1 for x, and solve for y (which would be t)

Answer 3

y=mx+b

Answer 4

slope= change in y over change in x

Answer 5

3-6/-3-8

Answer 6

1/4

Answer 7

y=1/4 x+b

Answer 8

Now plug in a point and solve for b

Answer 9

3=1/4(-3)+b

Answer 10

3=-3/4 +b

Answer 11

3+3/4=b

Answer 12

3 3/4 (aka 3.75)=b

Answer 13

y=1/4 x +3.75

Answer 14

Now plug in -1 for y and t for x

Answer 15

-1=1/4(t)+3.75

Answer 16

-4.75=1/4 t

Answer 17

-4.75/(1/4)=t

Answer 18

-19=t

Answer 19

for the slope i got
3/11

Answer 20

How did you get that?

Answer 21

6-3/8-(-3)

Answer 22

Should be -6-3/8--3
-or-
-3-8/3--6

Answer 23

wait

Answer 24

second equation= 3--6/-3-8

Answer 25

But either way we both goofed up :p slope is - 9/11

Answer 26

But now that u know how to do the problem, follow the same steps only with - 9/11 as the slope

Answer 27

ya i get the concept thanks for your help