Question

1. Here is a graph of the equation

2y-x=1
a. Are the points (0, 1/2)
and (-7, -3) solutions to
the equation? Explain or show how you know?

Answer 1

both points are solutions to the equation

Explanation:

to determine whether a point is a solution to an equation, you insert the (x,y) coordinate into the equation and see if the equation is true

1. (0,1/2)

2y - x = 1

2(1/2) - 0 = 1

1 - 0 = 1

1 = 1

true

2. (-7,-3)

2y - x = 1

2(-3) - (-7) = 1

-6 + 7 = 1

1 = 1

true