Question

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

Answer 1

Hey there!

Equation of Line FG:
`y=(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

C)

Explanation:

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

Slope of FG =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

=
`(8-1)/(9-[-5])=(7)/(9+5)\\\\`

`(7)/(14)\\\\=(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