In the given system of equations, \(m\) and \(b\) are negative consta…

Source Texts

Text

x^{2} + y^{2} = 36

y = m x + \frac{b}{4}

In the given system of equations,

m

and

b

are negative constants. In the xy-plane, the graphs of the equations in the given system intersect at the point

(- 5, y)

, where

y < 0

. Which expression represents the value of

b

- \frac{5 m}{4} + \frac{11}{4}

\frac{5 m}{4} - \frac{11}{4}

- 20 m + 411

20 m - 411