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Use the graph find the values of p and q if px + qy \(\...

$Use the graph find the values of p and q if px + qy \(\geq\) 4$

Use the graph find the values of p and q if px + qy $\geq$ 4

A.

p = 2, q = -1

B.

p = -1, q = 2

C.

p = 2, q = 2

D.

p = 1, q = 2

View answer & explanation

Correct answer is B

m = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{0 - (4)} = \frac{2}{4} = \frac{1}{2}$

$\frac{y_2 - y_1}{x_2 - x_1} \geq m$

$\frac{y - 0}{x + 4} \geq \frac{1}{2}$

2y $\geq$ x + 4, -x + 2y $\geq$ 4 = px + qy $\geq$ 4

p = -1, q = 2

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