Question

Given N(-3,-7), O(-4,-2), P(1, -7), and Q(-2, y). Find y
such that NO|| PQ.

Answer 1

y = 8

Explanation:

Given N(-3,-7), O(-4,-2), P(1, -7), and Q(-2, y), you want to find y such that NO ║ PQ.

Graph

When we plot the points, we see that point O is 1 unit left and 5 units up from point N. Point Q is on a line 3 units left of P, so it will need to be 3×5 = 15 units up from P in order for PQ to have the same slope as NO:

y = -7 +15 = 8

The value of y is 8; the point Q is (-2, 8).