Question

find the 2 solutions for linear equation of x+2y=5,graph the two points,find the slope​

Answer 1

$Given \: linear \: equation \: in \: two \\variables \:x \: and \: y \: is :\: x + 2y = 5$

$\implies 2y = 5 - x$

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

$i) Put \: x = 1 \: then y = \frac{ 5 - 1}{2}$

$\implies y = \frac{4}{2} = 2$

$ii) Put \: x = 5 \: then y = \frac{ 5 - 5}{2}$

$\implies y = \frac{0}{2} = 0$

$Plotting \: the \: points \: A( 1, 2 ) \: and \\ B(5,0)\: on \:the \: graph \: joining \:them \: we \\get \: a \: straight \: line$

$Compare \: x + 2y - 5 = 0 \:with \: ax + by + c =0\\we \: get$

$a = 1 , \: b = 2 \: and \: c = -5$

$\red{ Slope \: of \: the \: line \:(m) } \\= \frac{ -a}{b} \\= \frac{ - 1}{2}$

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Answer 2

Answer:

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Step-by-step explanation:

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