im doing homework and this is my question

Question

Select each ordered pair that is a solution to this linear equation.

=-2x-1

Answer 1

y= -2x + 1

To verify if an ordered pair is a solution, plug the x-value into the above equation and see if you get the same y. Here are two examples:

(-1,1) which means x = -1 and y = 1. Plug x = -1 into the equation to see if we get y = 1:

y = -2x - 1

y = -2(-1) -1

y= 2 - 1

y = 1

Yes we got y = 1 when x = -1, so the ordered pair (-1,1) is a solution. Now let's try (2,4):

y = -2x - 1

y = -2(2) -1

y= -4 - 1

y = -5

No we got y = -5 when x = 2, not y = 4. So the ordered pair (2,4) is not a solution.