Question

Use the concept of slope to find T such that the three points are collinear. (-6,1) (1,t)(10,5) Please explain! Totally lost

Answer 1

\[
\frac{5-1}{10+6}=\frac{t-1}{1+6}
\]
Solve for t.

Answer 2

\[
\frac{5-1}{10+6}=\frac{t-1}{1+6}\\

\frac{4}{16}=\frac 1 4=\frac{t-1}{1+6}\\
7= 4 t -4\\
4t =11\\
t=\frac{11}4

\]

Answer 3

Thank you !!!

Answer 4

What if it's switched? Like (t, -1)

Answer 5

You switch the role ot t and -1

Answer 6

of

Answer 7

So you put me where?

Answer 8

Them*

Answer 9

Slope is
\[
\frac{y_1-y_2}{x_1-x_2}
\]

Answer 10

(3,-3) (,-1)(8,6)

Answer 11

T,-1

Answer 12

You mimic my solution. You should be able to do that.

Answer 13

There.