The slope of a line is the ratio of rise to run for any two points on a line. Is this a true statement? Explain in two to four sentences. If false, provide a corrected statement.

True

Step-by-step explanation:

The slope is the ratio of rise to run for any two points on a line.

The rise is the change in vertical axis, y

Rise = y2 - y1

The run is the change in the horizontal axis, x

Run = x2 - x1

Slope is the ratio of both:

Rise / Run = (y2 - y1) / (x2 - x1)

the correct answer is the last option

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen