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Line passes throught (2,2) and is perpendicular to Y=3X+7

Line passes throught (2,2) and is perpendicular to Y=3X+7-example-1

2 Answers

1 vote
y-2=-1/3(x-2)
y-2=1/3x+2/3
y=-1/3x+8/3
User Kunal Mukherjee
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5 votes

For this question you would need to use point-slope form which is: (y-y₁)=m(x-x₁) where m=slope and (x₁, y₁) is your point on the line. So you already have a point, (2,2) and you need slope which is the negative inverse of the slope of a line perpendicular to it. In this case, the slope would be -1/3. So if you plug all of this in the point-slope equation you get: y-2=(-1/3)(x-2) ------> y=(-1/3x)-(2/3)+2 ----------------->y=(-1/3x)+(4/3)

User Zaheeda
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