What is the equation of the line perpendicular to y-3=2/3 (x+3) and has an x-intercept of 6?

Question

Mathematics

Evangeline Wood

31 July, 01:07

What is the equation of the line perpendicular to y-3=2/3 (x+3) and has an x-intercept of 6?

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Answers (1)

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Ann Rivera · Answer 1

y=-3/2x-1

Step-by-step explanation:

First, we convert the equation into slope-intercept form, so that we can make it easier to find the equation of the perpendicular line. Multiply 2/3 by both x and 3, and you get y-3=2/3x+2. Now we subtract 3 from both sides to get y by itself. We are now left with y=2/3x-1. To find the reciprocal of an equation, you look at the slope (in this case it is 2/3) and you find the opposite reciprocal of it. Basically, we take 2/3 and we flip it and change the sign. The equation we are left with is y=-3/2x-1. We didn't use the x-intercept because it wasn't necessary in this case.