In what ratio does the y-axis divide the join of P(–4, 2) and Q(8, 3)?

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1 : 2 Explanation: Let the y-axis meet PQ at R and let PR : RQ = k : 1. By the section formula, the x-coordinate of R is x = (k xx x_2 + x_1)/(k + 1). Setting x = 0 with x1 = –4 and x2 = 8 gives 0 = (8k - 4)/(k + 1) $\Rightarrow$ 8k – 4 = 0 $\Rightarrow$ k = $\frac{1}{2}$ So, PR : RQ = $\frac{1}{2}$ : 1 = 1 : 2.

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