Respuesta :

Answer:

Hey there!

Equation of Line FG: [tex]y=\frac{1}{2} x+3.5[/tex], 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: [tex]y=-2x-3\\[/tex], 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 :)

devishri1977

Answer:

C)

Step-by-step explanation:

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

Slope of FG = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

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

                     [tex]\frac{7}{14}\\\\=\frac{1}{2}[/tex]

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