Question

Given the equation y = 3x + 5 and the points (-2,-1) and (0,3), determine the solution. A. The solution is y = 3x + 5. B. The solution is y = -3x + 5. C. The solution is y = 3x - 5. D. The solution is y = -3x - 5.

Answer 1

Firstly, let's substitute the provided points into the equation and see whether they satisfy it or not.

1. Substituting the first point (-2,-1) into the equation:
Equation is y = 3x + 5. Substituting x = -2, we get y = 3*-2 + 5 = -6 + 5 = -1,
which is equal to the y-coordinate of the given point. Thus, the point (-2,-1) satisfies the equation.

2. Substituting the second point (0,5) into the equation:
Equation is y = 3x + 5. Substituting x = 0, we get y = 3*0 + 5 = 0 + 5 = 5,
which is equal to the y-coordinate of the given point. Thus, the point (0,5) satisfies the equation.

Since both point (-2,-1) and (0,5) satisfy the equation y = 3x + 5, we can conclude that the solution for this problem is option A, which is "y = 3x + 5".