Question

Find the slope of a line joining points A(0,3) and B(2,5).

Urgent h please​

Answer 1

$\underbrace{\underline{\sf{Given\: points}}}$

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$\rm\longrightarrow{A(0 , 3)}$

$\rm\longrightarrow{B(2 , 5)}$

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$\underbrace{\underline{\sf{To\: find}}}$

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$\tt\longrightarrow{Slope\: of\: the\: line}$

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$\underbrace{\underline{\sf{Solution}}}$

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$\rm\blue{We\: have\: a\: line\: joining\: two\: points,} \\ \rm\blue{A(0,3)\: and\: B(2,5).} \\ \rm\blue{We\: need\: to\: find\: slope\: of\: the\: line.}$

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$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Slope\: of\: a\: line\: is\: given\: by}}}$

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$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\bf{\bigstar{Slope (m) = \dfrac{(y_2 - y_1)^2}{(x_2 - x_1)^2}{\bigstar}}}}$

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$Here,$

$\tt\longrightarrow{x_1 = 0\: \: , \: \: x_2 = 2}$

$\tt\longrightarrow{y_1 = 3\: \: , \: \: y_2 = 5}$

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$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Putting\: the\: values}}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {m = \dfrac{(5 - 3)^2}{(2 - 0)^2}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {m = \dfrac{(2)^2}{(2)^2}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {m = \dfrac{4}{4}}$

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$\frak:\implies\: \: \: \: \: \: \: \: {\underline{\boxed{\purple{m = 1}}}}$

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$\large\underline{\bf{Hence,}}$

• $\sf{Slope\: of\: the\: line\: is\: 1}$.