Question

The coordinates of point F are (8, 4) and the coordinates of point G are (−4, 9) .

Answer 1

Answer:

The slope of the line that is perpendicular to FG is $\frac{12}{5}$

Step-by-step explanation:

step 1

Find the slope of line FG

we have

$F(8,4),G(-4,9)$

$m=\frac{9-4}{-4-8}$

$m=\frac{5}{-12}$

$m=-\frac{5}{12}$

step 2

Find the slope of the line that is perpendicular to FG

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1 ( the slopes are inverse reciprocal each other)

so

$m1*m2=-1$

we have

$m1=-\frac{5}{12}$

substitute and solve for m2

$(-\frac{5}{12})*m2=-1$

$m2=\frac{12}{5}$

therefore

The slope of the line that is perpendicular to FG is $\frac{12}{5}$