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Please help!!

Write the equation of the line passing through (2,3) and perpendicular to y = 2/3 x + 7.

User Cragly
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1 Answer

6 votes

Answer:

y = 2/3x

Explanation:

So we know, when lines are perpendicular that they share the same slope. The slope in the equation of y = 2/3x + 7 is 2/3x. So, we have our slope. Now, we just need to find our b. We plug in the point that you gave us into the equation y = mx + b.

3 = 2/3(2) + b

we multiply the denominator 3 by 2, then divide that by the numerator 2.

3 = 3 + b

subtract 3 from itself and from the opposite side of the equal side 3.

0 = b

in the end, there is no b for this equation. Our answer is

y = 2/3x

User Butakov Igor
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4.3k points