Given p(12,-2), q(5,-10), r(-4,10) and s(4,y), find the value of y so that line pq is perpendicular to line rs

The value of y is 3.

Step-by-step explanation:

Given points: P(12,-2), Q(5,-10), R(-4,10) and S(4,y).

We need to find the value of y so that line PQ is perpendicular to line RS.

Slope formula:

Slope of PQ is

Slope of RS is

The product of slopes of two perpendicular lines is -1.

Add 10 on both sides.

Therefore, the value of y is 3.

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answer: 177/8

step-by-step explanation: