Answer:
The second ordered pair (8, -54) is a solution of the equation.
Step-by-step explanation:
The first thing to take into account is that the first number in the parenthesis refers to a x value and the second number in the parenthesis refers to the related y value. It is [tex](x,\, y)[/tex].
For example, consider the function [tex]f(x)=2x[/tex].
When [tex]x[/tex] equals 2, [tex]y[/tex] equals 4. It means that the ordered pair is [tex](2,\, 4)[/tex]
Now, you must evaluate each ordered pair to find which one fits the equation [tex]y=-7x+2[/tex]
[tex]y=-7\cdot (1)+2=-7+2=-5[/tex]
The second number in (1, 2) must be -5. As it is not, this option is incorrect.
- (8, -54): the x value is 8
[tex]y=-7\cdot (8)+2=-56+2=-54[/tex]
As the second number in (8, -54) is -54, this option is CORRECT.
- (5, -35): the x value is 5
[tex]y=-7\cdot (5)+2=-35+2=-33[/tex]
The second number in (5, -35) must be -33. As it is not, this option is incorrect.
[tex]y=-7\cdot (1)+2=-7+2=-5[/tex]
The second number in (1, -7) must be -5. As it is not, this option is incorrect.
Thus, the second ordered pair (8, -54) is a solution of the equation.
