Question

(4) Find the value of k. if slope of line passing through P(k, 3)
and Q(1, 2) is -1/3​

Answer 1

P(x1, y1) = (k, 3)

Q(x2, y2) = (1,2)

Slope = -1/3

We know,

$</p><p></p><p>\qquad \rightarrow \boxed{\bold{Slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}}} </p><p></p><p>\\ \\</p><p></p><p>\rightarrow \quad \frac{-1}{3} = \frac{2 - 3}{1 - k}</p><p></p><p>\\ \\</p><p></p><p>\rightarrow \quad \cancel{-} \frac{1}{3} = \cancel{-} \frac{1}{1 - k}</p><p></p><p>\\ \\</p><p></p><p>\rightarrow \quad k - 1 = 3 </p><p></p><p>\\ \\</p><p></p><p>\rightarrow \quad \boxed{\bold{ k = 4 }} </p><p></p><p>$

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