Please help me I can't seem to get this one right

Line AB contains points A(2, −4) and B(3, 1). Line EF is perpendicular to line AB. Which two points lie on line EF? E(2, −7) and F(5, −1) E(0, 2) and F(−1, 7) E(−3, 2) and F(7, 0) E(7, 4) and F(6, 1)

Question

01-03-2019
Mathematics

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Please help me I can't seem to get this one right

Line AB contains points A(2, −4) and B(3, 1). Line EF is perpendicular to line AB. Which two points lie on line EF? E(2, −7) and F(5, −1) E(0, 2) and F(−1, 7) E(−3, 2) and F(7, 0) E(7, 4) and F(6, 1)

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Jenner1256 Jenner1256 · Answer 1 · 2019-03-02T03:59:40+01:00

Since the slope of AB is change in y over change in x = (1 - -4) over (3 - 2), the slope is 5 over 1
If EF is perpendicular, then it’s slope MUST be the negative reciprocal or opposite sign & flip the fraction. EF slope is -1 over 5 ( or 1 over -5 which is the same)

So looking at the choices,
(2,-7) & (5, -1). -1 - -7 = 6 over 5 - 2 = 3 ...6/3= 2/1 NOPE
(0, 2) & (-1 , 7). 7 - 2 = 5 over -1 - 0 = -1 ... 5/-1. NOPE
(-3 , 2) & (7 , 0). 0 - 2 = -2 over 7 - -3 = 10. So -2 /10 which reduces to -1/ 5 WINNER!
Double check the last one: (7 , 4) & (6 , 1). 1 - 4 = -3 over 6 - 7 = -1 ... -3/-1 = 3/1 NOPE

Please help me I can't seem to get this one right Line AB contains points A(2, −4) and B(3, 1). Line EF is perpendicular to line AB. Which two points lie on line EF? E(2, −7) and F(5, −1) E(0, 2) and F(−1, 7) E(−3, 2) and F(7, 0) E(7, 4) and F(6, 1)

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Otras preguntas

Please help me I can't seem to get this one right

Line AB contains points A(2, −4) and B(3, 1). Line EF is perpendicular to line AB. Which two points lie on line EF? E(2, −7) and F(5, −1) E(0, 2) and F(−1, 7) E(−3, 2) and F(7, 0) E(7, 4) and F(6, 1)