The Equation of a Line
We are given the equation of the line:
y = -2x + 7
It's required to complete the ordered pairs (5,y) and (x,1)
In the first ordered pair, the value of x is x=5. Thus we substitute it into the equation of the line as follows:
y = -2(5) + 7
Operating:
y = -10 + 7
y = -3
Thus the complete ordered pair is (5,-3)
Now for the pair (x,1) we are given y=1. Substituting:
1 = -2x + 7
Subtracting 7:
1 - 7 = -2x
Calculating:
-6 = -2x
Dividing by -2:
x = -6 / (-2)
x = 3
The complete ordered pair is (3,1)