Question

Find the value of x,if the slope of the line passing through (2,5) and (x,3) is 2.

Answer 1

Answer:

Step-by-step explanation:

Slope of line = (y2-y1)/x2-x1

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

2 = -2/(x-2)

2(x-2) = -2

x-2 = -2/2

x-2 = -1

X= -1 +2

X= 1

Answer 2

The value of x = 1 if the slope of the line passing through (2,5) and (x,3) is 2

Given :

The slope of the line passing through (2,5) and (x,3) is 2

To find :

The value of x

Solution :

Step 1 of 2 :

Find slope of the line

Here the given points are (2,5) and (x,3)

So slope of the line

$\displaystyle \sf{ = \frac{5 - 3}{2 - x} }$

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

Step 2 of 2 :

Find the value of x

By the given condition

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

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

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

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

$\displaystyle \sf{ \implies x = 1 }$

Hence the required value of x = 1

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