19. What is the equation of the line perpendicular to line l that passesthrough point (3, 3)?
1 answer:
Answer:
y -3 = (1/2)(x -3)
Step-by-step 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)
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