Final answer:
To determine which point is a solution on the graph, substitute the x and y values from each point into the equation and check if it is satisfied.
Step-by-step explanation:
To determine which of the points (-2, 4) and (-3, -8) is a solution on the graph given the equation y – 4 = 4x, we can substitute the x and y values from each point into the equation and see if it is satisfied.
For the point (-2, 4), substituting x = -2 and y = 4 into the equation gives us 4 – 4 = 4(-2), which simplifies to 0 = -8. This equation is not true, so the point (-2, 4) is not a solution.
For the point (-3, -8), substituting x = -3 and y = -8 into the equation gives us -8 – 4 = 4(-3), which simplifies to -12 = -12. This equation is true, so the point (-3, -8) is a solution on the graph.