SOLUTION: If the equation of line L is ax + by = c, find its slope, both the x- and y-intercepts, and the line through the origin perpendicular to L.

Algebra ->  Points-lines-and-rays -> SOLUTION: If the equation of line L is ax + by = c, find its slope, both the x- and y-intercepts, and the line through the origin perpendicular to L.       Log On


   

Question 1125456: If the equation of line L is ax + by = c, find its slope, both the x- and y-intercepts, and the line through the origin perpendicular to L.
Answer by rothauserc(4718) About Me  (Show Source):
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The equation of line L is ax + by = c
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I assume a, b, c are real numbers
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solve for y
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y = (-ax/b) +(c/b)
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slope of line L is -a/b and its y-intercept is c/b
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the x-intercept c/a
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the slope of the line perpendicular to L is b/a, since the y-intercept for this line is 0, we have
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y = bx/a
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