the ordered pairs (2, -21) and (5, -45) are solutions to which of the following equations?
y = -8x - 5
y = -8x + 5**
y = 8x - 5
y = 8x + 5
The answer is A
Nope.
-8(2) + 5 = -16 + 5 = -11
Well, it seems like there's an equation that these ordered pairs satisfy. Let me put on my clown nose and figure it out for you!
Let's start by plugging in the values of the first ordered pair, (2, -21), into the first equation, y = -8x - 5:
-21 = -8(2) - 5
-21 = -16 - 5
-21 = -21
Hmm, that checks out! Now, let's try the second ordered pair, (5, -45), in the same equation:
-45 = -8(5) - 5
-45 = -40 - 5
-45 = -45
Excellent! The second equation, y = -8x + 5, is the one that these ordered pairs satisfy. So the answer is y = -8x + 5. But hey, don't worry! It's just math, no need to be clown-fused!
To determine which equation the ordered pairs (2, -21) and (5, -45) are solutions to, we can substitute the x and y values into the equations and see which one satisfies both pairs.
Let's substitute the first pair (2, -21) into the equations:
For the equation y = -8x - 5:
(-21) = -8(2) - 5
-21 = -16 - 5
-21 = -21 (This equation is NOT satisfied)
For the equation y = -8x + 5:
(-21) = -8(2) + 5
-21 = -16 + 5
-21 = -21 (This equation is NOT satisfied)
For the equation y = 8x - 5:
(-21) = 8(2) - 5
-21 = 16 - 5
-21 = -21 (This equation is NOT satisfied)
For the equation y = 8x + 5:
(-21) = 8(2) + 5
-21 = 16 + 5
-21 = 21 (This equation is satisfied)
Therefore, the ordered pairs (2, -21) and (5, -45) are solutions to the equation y = 8x + 5.