this is your answer, i hope this helps you
Answer:

Step-by-step explanation:
we know that
If the three points are collinear
then

we have
A (1, 2/3), B (x, -4/5), and C (-1/2, 4)
The formula to calculate the slope between two points is equal to

step 1
Find the slope AB
we have

substitute in the formula



step 2
Find the slope AC
we have

substitute in the formula



step 3
Equate the slopes


solve for x





simplify

A. ASA similarity theorem
B. SSS similarity theorem
(2m + 7) - (3 - 4m)
First distribute the (-) in front of the quantity of 3 - 4m.
Think of it as this:
-1(3 - 4m)
You multiply each number inside the parenthesis by -1.
So:
3*-1 = -3
-4m * -1 = 4m
Now that you've distributed the negative you can remove the parenthesis.
Now you'll just set it all up like you would any normal problem. Because -3 is negative you'll make it subtract.... I'll show you what I mean:
2m + 7 - 3 + 4m
Combine like terms (Terms which have the same variables... in this case the same number of m's)
Rearranging them can help!
4m + 2m + 7 - 3
6m + 7 - 3
6m + 4, is our difference!