SOLUTION: Two perpendicular lines intersect at point (1,2).The y intercept of one of the lines is (0,5).determine a)the equation of the other line b)it's y intercept

Algebra ->  Polygons -> SOLUTION: Two perpendicular lines intersect at point (1,2).The y intercept of one of the lines is (0,5).determine a)the equation of the other line b)it's y intercept      Log On


   

Question 1154765: Two perpendicular lines intersect at point (1,2).The y intercept of one of the lines is (0,5).determine
a)the equation of the other line
b)it's y intercept
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
One of the lines:
(1,2) and (0,5);
y=%28%285-2%29%2F%280-1%29%29x%2B5
y=-3x%2B5


The OTHER line:
y=%281%2F3%29x%2Bb
b=y-x%2F3
since also pass through (1,2), then
b=2-1%2F3
b=6%2F3-1%2F3=4%2F3=1%261%2F3
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This other line is highlight%28y=x%2F3%2B1%261%2F3%29.