The gradient is m = &#x2212;<!-- − --> 4 / 3 , and the point given is ( 3

Marissa Singh 2022-05-09 Answered
The gradient is m = 4 / 3, and the point given is ( 3 / 2 , 3 )
Let c be the y-intercept
y = m x + c
y = ( 4 / 3 ) x + c
If I substitute x and y from the point given, 3 = ( 4 / 3 ) ( 3 / 2 ) + c and look for c, I get c = 5
But according to my answer sheet, c = 33 / 8 by using y y 1 = m ( x x 1 )
Why are the two methods giving different answers?
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Answers (2)

Marquis Matthews
Answered 2022-05-10 Author has 6 answers
The answer sheet is wrong. Using y y 1 = m ( x x 1 ), we get y 3 = ( 4 / 3 ) ( x 3 / 2 ). Distributing the 4 / 3, we get y 3 = ( 4 / 3 ) x + 4 / 2 = ( 4 / 3 ) x + 2. Now add three to both sides, and we get y = ( 4 / 3 ) x + 5, so c = 5 again.
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Alaina Holt
Answered 2022-05-11 Author has 2 answers
It looks like someone flipped the gradient at some point. If you use 3 4 as the gradient, you end up with c = 33 8 .
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