Find the slope of each line below. Which pairs of lines are perpendicular? Which pairs are parallel?

Hint:

Slopes that are opposite reciprocals of each other are perpendicular, while parallel lines share the same slope.

$y=\frac{-5}{6}x+3$
Hint (a):
Slope is given in the equation.

$y=3$
Hint (b):
$y = 3$ is a horizontal line, thus its slope is zero.

$5x+6y=9$
Hint (c):
Rearrange the equation into the $y = mx + b$ form to identify the slope.

$x=-4$
Hint (d):
$x = −4$ is a vertical line, thus its slope is undefined.

$y=-4x-5$
Hint (e):
Slope is given.

$y=\frac{1}{4}x-7$
Hint (f):
Slope is given.

$4x-y=2$
Hint (g):
Rearrange the equation into the $y = mx + b$ form to identify the slope.

$y=5-\frac{6}{5}x$
Hint (h):
Rearrange slightly and identify the slope.

Answer:

An example of a pair of parallel lines is the line from part (a) and the line from part (c), while an example of a pair of perpendicular
lines is the line from part (b) and the line from part (d). Knowing this information, can you find your own examples?