Question

Find the slope of the line passing through A (2 , -1) and B (4 , 3)

Answer 1

$\underline{ { \huge { \mathfrak{A}}} \mathrm{nswer :-}}$

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$\mathrm{ –» \: A (2 , -1) = (x_1 , y_1)}$

$\mathrm{ –» \: B (4 , 3) = (x_2 , y_2)}$

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We know that,

$: \longrightarrow \rm{Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} }$

$\longrightarrow \rm{Slope (m) = \frac{3 - ( - 1)}{4 - 2} }$

$\longrightarrow \rm{Slope (m) = \frac{3 + 1}{2} }$

$\longrightarrow \rm{Slope (m) = \frac{ \cancel{4} \: ^{2} }{ \cancel{2} ^{1} } }$

$\red{ \therefore \: \rm{Slope (m) = 2 \: \: \: ..(ans)}}$

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Other formulas to find the slope :-

• $\rm{(y - y_1) = m(x - x_1)}$
• $\rm{y = mx + c}$

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