Answer:
Choice B: Only (-2, 9)
Step-by-step explanation:
Of the two choices, only the point (-2, 9) satisfies the equation:
... y = -2x +5
... 9 = -2(-2) +5 = 4 +5 = 9
Answer:
The correct answer is B. Only (-2,9) is a solution of the equation.
Step-by-step explanation:
To figure out if an ordered pair is a solution to an equation, you could perform a test.
Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.
We have the equation
[tex]y=-2x+5[/tex]
and two different ordered pairs (2, -9) and (-2, 9).
We use the x-value in the first ordered pair, x = 2, and we plug it into the equation.
[tex]y=-2(2)+5\\y=-4+5\\y=1[/tex]
If we compare with the ordered pair (2, -9), y must be equal to -9, but when we plugged x = 2 into the equation, we obtained that y = 1, so this is not a solution.
Using the x-value of the second ordered pair, x = -2, we get
[tex]y=-2(-2)+5\\y=4+5\\y=9[/tex]
Because we obtained y = 9, when we plugged x = -2, the ordered pair (-2, 9) is a solution of the equation.
The correct answer is B. Only (-2,9) is a solution of the equation.
