Question

Find the slope of any line perpendicular to the line through ( – 6, 4) and (0,2).
25 POINTS

Answer 1

• (-6,4)
• (0,2)

`\\ \bull\tt\dashrightarrow Slope=(y_2-y_1)/(x_2-x_1)`

`\\ \bull\tt\dashrightarrow Slope=(2-4)/(0+6)`

`\\ \bull\tt\dashrightarrow Slope=(-2)/(6)`

`\\ \bull\tt\dashrightarrow Slope=(-1)/(3)`

Answer 2

• 3

Explanation:

Line through ( – 6, 4) and (0,2) has a slope:

• m₁ = (2 - 4)/(0 - (-6)) = -2/6 = -1/3

The line perpendicular to this has a slope, negative-reciprocal to this:

• m₂ = -1/m₁ = -1 /(-1/3) = 3