ICSE Class X Math 2016 Solved Paper

The slope of a line joining $P(6, k)$ and $Q(1-$ $3 k, 3)$ is $\;{1}/{2}$ . Find:

Question : 4 of 57

Marks: +1, -0

k

Solution:

Let

{\P}(6, k)= (x_1, y_1)

and

{\Q}(1-3 k, 3)=

(x_2, y_2)

∴ \;\; \;\text " Slope of "\; {\PQ}\;=\;{y_2-y_1}/{x_2-x_1}

⇒ \;\; \;{3-k}/{1-3 k-6}\;=\;{1}/{2}

6-2 k\;=-5-3 k

11\;=-k

k\;=-11

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