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10 votes
10 votes
Select the correct answer Which equation represents a line that is perpendicular to line MN?

User Intotecho
by
3.1k points

2 Answers

18 votes
18 votes

Answer:

D. y = 4x - 6

Explanation:

User Idbehold
by
3.5k points
24 votes
24 votes

Answer:

D. y = 4x - 6

Explanation:

The equation that is perpendicular to the line MN should have a slope that when multiplied by the slope of line MN will result to negative one. Therefore,

Therefore,

m₁ × m₂ = -1

Using the 2 coordinates of MN let's find the slope,

(-7, 6)(5, 3)

Therefore,

m₁ = 3 - 6 / 5 - (-7) = -3 / 12 = - 1 / 4

The equation that represent a line perpendicular to the line MN is

y = 4x - 6 because the slope slope(m₂) is 4.

From our formula,

4 × - 1 / 4 = - 1

So, option D meets the requirement.

User John Ellmore
by
2.8k points
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