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19. What is the equation of the line perpendicular to line l that passes
through point (3, 3)?​

19. What is the equation of the line perpendicular to line l that passes through point-example-1

1 Answer

4 votes

Answer:

y -3 = (1/2)(x -3)

Explanation:

The given line has a slope that is ...

rise / run = (-2)/(1) = -2

The perpendicular line will have a slope that is the negative reciprocal of that:

m = -1/(-2) = 1/2

In point-slope form, the equation of the line with slope m through point (h, k) is ...

y -k = m(x -h)

The line with slope 1/2 through point (3, 3) will have equation ...

y -3 = (1/2)(x -3)

19. What is the equation of the line perpendicular to line l that passes through point-example-1
User Ronnie
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