Equations
We are given the function:
y = f(x) = -5x - 3
It's required to select from the following ordered pairs those who are solutions to the equation above. Let's test them all.
A. (1,-2). Substitute x=1 and y=-2:
-2 = -5*(1) - 3
-2 = -5 - 3
-2 = -8
Since this equality is false, the ordered pair is not a solution
B. (-1,2). Substitute x=-1 and y=2:
2 = -5*(-1) - 3
2 = 5 - 3
2 = 2
This expression is true, thus the ordered pair is a solution
C. (-2,7). Substitute x=-2 and y=7:
7 = -5*(-2) - 3
7 = 10 - 3
7 = 7
This expression is true, thus the ordered pair is a solution
D. (7,-3). Substitute x=7 and y=-3:
-3 = -5*(7) -3
-3 = -35 - 3
-3 = -38
Since this equality is false, the ordered pair is not a solution
You should select the ordered pairs
B. (-1,2)
C. (-2,7)