the ordered pairs (2, -17) and (5, -35) are solutions to which of the following equation?
y = -6x +5
y = 6x - 5
y = 6x + 5 (me)
y + -6x - 5
To determine which equation the ordered pairs (2, -17) and (5, -35) are solutions to, you can substitute the x and y values from each ordered pair into each equation to see which equation results in a true statement.
Let's substitute the values (2, -17) into each equation:
For equation y = -6x + 5:
Substituting x = 2 and y = -17:
-17 = -6(2) + 5
-17 = -12 + 5
-17 = -7
This equation is false, so it is not the correct equation.
For equation y = 6x - 5:
Substituting x = 2 and y = -17:
-17 = 6(2) - 5
-17 = 12 - 5
-17 = 7
This equation is false as well.
For equation y = 6x + 5:
Substituting x = 2 and y = -17:
-17 = 6(2) + 5
-17 = 12 + 5
-17 = 17
Again, this equation is false.
For equation y + -6x - 5:
Substituting x = 2 and y = -17:
-17 + (-6)(2) - 5
-17 - 12 - 5
-17 = -17
This equation is true.
Based on the substitution, we can conclude that the ordered pairs (2, -17) and (5, -35) are solutions to the equation y + -6x - 5.