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
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