Question

(I’m sorry for the horrible quality but please help ASAP) which proportion can be used to show that the slope of PR Is equal to the slope of rt?

Answer 1

Answer:

Correct option: F.

Step-by-step explanation:

The slope of a line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.

For PR, use P=(-7,7) R=(-4,3). Now calculate the slope

$\displaystyle m=\frac{3-7}{-4-(-7)}$

For RT, use R=(-4,3) (2,-5). Calculate the second slope:

$\displaystyle m=\frac{-5-3}{2-(-4)}$

If both slopes are equal, then:

$\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}$

Correct option: F.