Final answer:
The points that represent ordered pairs satisfying the equation 4x + 3y = -24 are (-4, 12), (-2.4, -0.44), and (-4, -17.8).
Step-by-step explanation:
The given equation is 4x + 3y = -24. To find the points that represent ordered pairs satisfying this equation, we can substitute x and y values from the given options and check if the equation holds true for each pair.
- Option A: y = -3x
- Substituting the values in the equation, we get 4x + 3(-3x) = -24. Simplifying this equation, we get x = -4. This means the ordered pairs (x, y) = (-4, 12) is a solution.
- Option B: y = 0.2 + 0.74x
- Substituting the values in the equation, we get 4x + 3(0.2 + 0.74x) = -24. Simplifying this equation, we get x = -2.4. This means the ordered pairs (x, y) = (-2.4, -0.44) is a solution.
- Option C: y = -9.4 - 2x
- Substituting the values in the equation, we get 4x + 3(-9.4 - 2x) = -24. Simplifying this equation, we get x = -4. This means the ordered pairs (x, y) = (-4, -17.8) is a solution.
Therefore, the points (-4, 12), (-2.4, -0.44), and (-4, -17.8) represent ordered pairs that are solutions of the equation 4x + 3y = -24.