Answer:
a) (0, -3) is a solution
b) (1, 2) is not a solution
Explanations:
a) name an ordered pair solution and explain why it is a solution
The equation of the line is given as:
P(x) = (1/2)x - 3
The solution to the equation of the line is any set of values that make the equation mathematically valid.
By careful consideration of the equation, it will be observed all real values of x will give a real value of P(x). This means that every real value of x and p(x) is a solution of the line equation.
An example of an orderred pair of solution is:
x = 0, P(x) = -3. That is, (0, -3)
This ordered pair is a solution because if substituted into the equation, the Right Hand Side will be equal to the Left Hand Side.
-3 = (1/2 x 0) - 3
-3 = -3
b) What ordered pair is not a solution, and why?
An ordered pair that is not a solution, for example, is (1, 2)
This can be confirmed by substituting x = 1 into the equation and confirm if p(x) is actually 2
P(x) = (1/2)x - 3
P(1) = (1/2)(1) - 3
P(1) = -2.5
Since P(1) is not equal to 2 , (1, 2) is not a solution