Use the slopes of lines a and b to show that they are perpendicular to the given line.

Line A m = 2

Line B m = -1/2

Lines that are negative reciprocals are perpendicular

Step-by-step explanation:

1. Choose two points from each line.

2. Calculate the slope of each line using formula

3. Check for negative reciprocals

Line A:

Point 1 (1, 1)       x₁ = 1    y₁ = 1

Point 2 (2, 3)     x₂ = 2   y₂ = 3

Substitute the information into the formula

Line B:

Point 1 (0, 4)       x₁ = 0    y₁ = 4

Point 2 (8, 0)     x₂ = 8   y₂ = 0

Substitute the information into the formula

The slopes are 2 and -1/2. Since they are negative reciprocals to each other, Line A is perpendicular to Line B.

The negative reciprocal of a number is switching its top and bottom fraction, then changing the negative/positive.

2 in fraction form is .

Switched top and bottom is

Changed negative sign is