Question

Nita graphed the system of equations on the graph below. y=-3(x+2) y=-3x-6

Which explains why there is only one line?

A. Each has a slope of –3 and a y-intercept of –6, so the system has infinitely many solutions.
B. Each has a slope of –3 and a y-intercept of –6, so the system has no solution.
C. Each has a slope of –3, but one has a y-intercept of 2 and the other has a y-intercept of –6. So, the system has infinitely many solutions.
D. Each has a slope of –3, but one has a y-intercept of 2 and the other has a y-intercept of –6. So, the system has no solution.

Answer 1

The answer is "A"

Explanation:

Both equations are equal so there are an endless amount of solutions.

Have a Jocular Day

Answer 2

A. Each has a slope of -3 and a y-intercept of -6, so the system has infinitely many solutions.

Explanation:

Use the Distributive Property of Multiplication for the first equation, and you will see that it is EXACTLY IDENTICAL to the second equation.

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