Question

Find the slope of DE and FG

Answer 1

Part 1) The slope of DE is
`m=(c)/(a+b)`

Part 2) The slope of FG is
`m=(c)/(a+b)`

Explanation:

we know that

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

`m=(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=(2c-c)/(0-(-a-b))`

`m=(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=(0-c)/(0-(a+b))`

`m=(-c)/(-(a+b))`

Simplify the sign minus

`m=(c)/(a+b)`

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