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ddd [48]
2 years ago
7

If three points (5,1) , (1,-1) and (m,4) are collinear.Find m​

Mathematics
1 answer:
krek1111 [17]2 years ago
8 0

Answer:

m = 11

Step-by-step explanation:

Since the points are collinear then the slope between points are equal.

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)

m = \frac{-1-1}{1-5} = \frac{-2}{-4} = \frac{1}{2}

Repeat with

(x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (m, 4)

m = \frac{4+1}{m-1} = \frac{5}{m-1} = \frac{1}{2}

Cross- multiply

m - 1 = 10 ( add 1 to both sides )

m = 11

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