Question

Which two pairs of points lie on perpendicular lines?

Answer 1

Answer:

(-6,-8),(7,18) and (-4,6),(2,3) lie on perpendicular lines

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope of the pair (-6,-8),(7,18)

substitute

$m=\frac{18+8}{7+6}$

$m=\frac{26}{13}$

$m=2$

step 2

Find the slope of the pair (6,4),(4,12)

substitute

$m=\frac{12-4}{4-6}$

$m=\frac{8}{-2}$

$m=-4$

step 3

Find the slope of the pair (-4,6),(2,3)

substitute

$m=\frac{3-6}{2+4}$

$m=\frac{-3}{6}$

$m=-\frac{1}{2}$

step 4

Remember that

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

In this problem

$m=2$ and $m=-\frac{1}{2}$ are opposite reciprocal

therefore

(-6,-8),(7,18) and (-4,6),(2,3) lie on perpendicular lines