181k views
2 votes
Write the equation of a line that passes through the origin and is perpendicular to the line whose equation is 12x - 4y = 24.

User Aviann
by
5.2k points

1 Answer

4 votes

Answer:

y=-1/3x

Explanation:

Let's convert this to slope intercept form:

12x-4y=24

-4y=-12x+24

y=3x-6

Therefore, the slope of this line is 3, so the perpendicular line to this would have slope -1/3. Therefore, the slope of the line would be y=-1/3x. Hope this helps!

User Tiny Wang
by
6.4k points