Question

Find the slope of the lines  (a) Passing through the points (3, -2) and (-1,4)  (b) Passing through the points (3, -2) and (7,-2)  (c) Passing through the points (3, -2) and (3,4)

Answer 1

(a) \(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{4-(-2)}{-1-3}=\frac{6}{-4}=-\frac{3}{2}\)
(b) slope \(=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-2+2}{7-3}=\frac{0}{4}=0\)
(c) slope \(=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{4-(-2)}{3-3}=\frac{6}{0}=\infty\)
(d) Here, \(\theta=60^{\circ}\)
\(\therefore\) Slope \(=m=\tan \theta=\tan 60^{\circ}=\sqrt{3}\)

Answer 2

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Answer 3

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