Question

Find the value of k if the slope of the line joining the points( k, 4 )and (-3, -2) is 1/2

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Value\:of\:k=9}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given:}} \\ \tt: \implies Slope = \frac{1}{2} \\ \\ \tt: \implies Point \: on \: line = (k,4) \: and \: ( - 3, - 2) \\ \\ \red{ \underline \bold{To \: Find:}} \\ \tt: \implies Value \: of \: k = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Slope \: of \: line = \frac{(y_{2} - y_{1})}{(x_{2} - x_{1})} \\ \\ \text{putting \: value \: of \: given \: values} \\ \tt: \implies \frac{1}{2} = \frac{ - 2 - 4}{ - 3 -k } \\ \\ \tt: \implies \frac{1}{2} = \frac{ - 6}{ - 3 - k} \\ \\ \tt: \implies - 3 - k = - 12 \\ \\ \tt: \implies - 3 + 12 = k \\ \\ \tt: \implies 9 = k \\ \\ \green{\tt: \implies k = 9}$