Question

Find the slope of DE and FG

Answer 1

Answer:

Part 1) The slope of DE is $m=\frac{c}{a+b}$

Part 2) The slope of FG is $m=\frac{c}{a+b}$

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope of DE

we have

D(-a-b,c) and E(0,2c)

substitute in the formula

$m=\frac{2c-c}{0-(-a-b)}$

$m=\frac{c}{a+b}$

step 2

Find the slope of FG

we have

F(a+b,c) and G(0,0)

substitute in the formula

$m=\frac{0-c}{0-(a+b)}$

$m=\frac{-c}{-(a+b)}$

Simplify the sign minus

$m=\frac{c}{a+b}$

Note The slope of DE is equal to the slope of FG. therefore DE and FG are parallel