Question

If the slope of the line passing through the
points (2, 5) and (x, 1) is 2, then x =
​

Answer 1

Answer:

slope=y2-y1/x2-x1

so,slope=1-5/x-2=-4/x-2

-4/x-2=2 (Given)

by cross multiplication

-4=2x-4

2x=0

so,x=0

Answer 2

SOLUTION

GIVEN

The slope of the line passing through the points (2, 5) and (x, 1) is 2

TO DETERMINE

The value of x

EVALUATION

Here it is given that the slope of the line passing through the points (2, 5) and (x, 1) is 2

So by the given condition

$\displaystyle \sf \: \frac{5 - 1}{2 - x} = 2$

$\displaystyle \sf \implies \frac{4}{2 - x} = 2$

$\displaystyle \sf \implies \frac{2}{2 - x} = 1$

$\displaystyle \sf \implies 2 - x = 2$

$\displaystyle \sf \implies x = 0$

FINAL ANSWER

Hence the required value of x = 0

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