Question

Determine x so that 2 is the slope of the line through p(2,5) and Q(x,3)

Answer 1

The answer is 1 as the slope=perpendicular/base

.:. The answer is 1

Answer 2

Answer:

$\red { Value \: of \: x } \green { = 1}$

Step-by-step explanation:

$Slope \: of \:the \:line \:passing \:through \\P(2,5) \:and \: Q(x,3) \:is \:2.$

$Here , \: x_{1} = 2, \:y_{1} = 5;\\x_{2} = x, \:y_{2} = 3;$

$Slope \: of \: \overline {PQ} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}=2\: (given)$

$\implies \frac{3 - 5 }{x - 2 } = 2$

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

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

$\implies -1 = x - 2$

$\implies 2 - 1 = x$

$\implies x = 1$

Therefore.,

$\red { Value \: of \: x } \green { = 1}$

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