Which equation below contains the point (-2, 1) as a solution?

Question

its algebra 1 8th grade math the answers to choose from are

1. y = 3x + 1
2. y = 8x + 17
3. y = x - 3

Answer 1

We can frame the question as:

"Which of the given equations is satisfied by the values

x = -2

y = 1?"

We can try each equation.

3x + 1 = 3 * (-2) + 1 = -6 + 1 = -5 ≠ 1

The point (-2, 1) is not a solution of the equation y = 3x + 1

8x + 17 = 8 * (-2) + 17 = -16 + 17 = 1

The point (-2, 1) is a solution of the equation y = 8x + 17

x - 3 = -2 - 3 = -5 ≠ 1

The point (-2, 1) is not a solution of the equation y = x - 3

So the answer is Equation 2: y = 8x + 17

Answer 2

Hello, thank you for taking the time to post your question!

When you’re given a point and a set of equations the way to check is by plugging in the values of x and y in the point into the expression and see if the equality holds. If you check these equations, the one that works is Equation (2) y = 8x + 17

1 = 8(-2) + 17

1 = 1

For the others you would find that that equality doesn’t hold when you plug in the values of x and y.

I hope that helps get you moving in the right direction! Feel free to reach out if you still have questions beyond that :)