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Which equation represents the line that passes through point (2,3) and is perpendicular to 4x-5y=7

User Mertinc
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2 Answers

15 votes
15 votes
I think it could be 5
User Dylan Lukes
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2.9k points
15 votes
15 votes

Answer:

Explanation:

First, find the slope of 4x - 5y = 7

Simplify it down to a readable form:

5y = 4x - 7

y = (4x - 7)/5

y = 4/5 x - 7/5

slope = 4/5

slope perpendicular to 4/5 is its opposite reciprocal, which would be -5/4.

given the point (2,3), we can get the equation using point slope form for linear equations: y-k = m(x-h) for point (h,k).

now plug:

y-3 = (4/5)(x-2)

y-3 = (4/5)x - 8/5

User Gergely M
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2.6k points