Question

The graph below shows the solution to a system of inequalities.

Solid line joining ordered pairs 0, 4 and 9, negative 8. Shade the portion of the graph below the line in the first and fourth quadrant

Which of the following inequalities is modeled by the graph?

A. 4x + 3y ≤ 12; x ≥ 0

B. 4x + 3y ≥ 12; x ≥ 0

C. 4x - 3y ≤ 12; x ≥ 0

D. -4x - 3y ≤ 12; x ≥ 0

Answer 1

A line joining the points (0, 4) and (9, -8). Its slope is
\[m = \frac{y_2-y_1}{x_2-x_1}\]
find slope using this formula
then from y = mx + b get the equation