Question

1. ashton graphed a system of equations with infinitely many solutions. what must be true about the equations of the lines?

a. they have the same slope.
b. they have different y - intercepts.
c. the lines are parallel.
d. all of the above.

Explanation:

A system of linear equations has infinitely many solutions when the lines are coincident (the exact same line). This requires them to have the same slope and the same y-intercept. Parallel lines with different y-intercepts have no solutions, so options b, c, d are incorrect. Only option a is a necessary condition (though not sufficient on its own, it is the only true statement among the choices).

Answer:

a. They have the same slope.