Question

Select the correct answer. Which equation represents a line that is perpendicular to line FG?

Answer 1

Answer:

Hey there!

Equation of Line FG: $y=\frac{1}{2} x+3.5$, because the slope (rise over run) is 2 and we see that the y intercept is 3.5.

Equation to a Line Perpendicular to FG: $y=-2x-3$, because the equations of perpendicular lines have the same (but could also be different y-intercepts), and opposite reciprocal slopes.

Let me know if this helps :)

Answer 2

Answer:

C)

Step-by-step explanation:

f(-5,1) & G(9,8)

Slope of FG = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

                    = $\frac{8-1}{9-[-5]}=\frac{7}{9+5}$

                     $\frac{7}{14}\\\\=\frac{1}{2}$

Slope of line perpendicular to FG = -1/m = -1/(1/2) = -2

Equation of line in slope intercept form : y = mx + b

m = - 2

So, option c will be the equation of the line perpendicular to FG