Question

Square EFGH is drawn on a coordinate plane. Side FE is on the line y − 2 = −2(x + 6). What is the slope of the side FG?

negative one half
one half
−2
2

Answer 1

Answer:

one half

Step-by-step explanation:

Given : Equation of line FE is $y-2=-2(x+6)$

To find: Slope of line FG

Solution:

If two lines are perpendicular to each other, product of their slopes is $-1$

$y-2=-2(x+6)$

$y=2-2(x+6)$

Differentiate with respect to x

$\frac{\mathrm{d} y}{\mathrm{d} x}=0-2(1+0)=-2$

{ As $\frac{\mathrm{d} (x^n)}{\mathrm{d} x}=nx^{n-1}$}

As lines FE and FG are perpendicular to each other,

slope of FG $=\frac{-1}{\frac{\mathrm{d} y}{\mathrm{d} x}}=\frac{-1}{-2}=\frac{1}{2}$

So, slope of FG is one half

Answer 2

Answer:

The answer would be 1/2!

Step-by-step explanation:

Look at the photo to prove I'm correct! Brainiest Please!