What is the slope of a line that is perpendicular to the line whose equation is ax+by=c?

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

6 0

The perpendicular line will have a slope of b/a.

To find this, we first have to solve our equation for slope intercept form.

ax + by = c ----> subtract ax

by = -ax + c ----> divide by b

y = -a/bx + c/b.

So we know the slope of this equation to be -a/b. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of b/a.

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