Question

PLEASE HELPP WILL GIVE BRAINLIEST!!
Given line AB use similar triangles to prove that the slope of line AB is the same between any two points on the line.

Create two similar, but not equal, right triangles using segments of line AB as the hypotenuse of each triangle. You may choose the given points A(-5, -1) and B(4, 3.5) as two of the points used to create the triangles. For each point used to create the triangles, name the point with a capital letter and coordinates.

Answer 1

Well the line is straight so it will always have the same slope no matter what points you use but to solve it mathematically you do change in y/change in x

(3.5-(-1))/(4-(-5))
4.5/9 = 0.5
So the slope is 0.5

Now pick 2 random points on the line
(-3,0) and (5,4)
Now do the same thing for these 2 points

(4-0)/5-(-3)
4/8 = 0.5

So no matter what points the slope is always 0.5