A. y = -8x - 5 B. y = -8x + 5*** C. y = 8x - 5 D. y = 8x + 5

The ordered pairs (2, -21) and (5,-45) are solutions to which of the

no so would it be a?

correct

The answer is A

let's quickly find the slope

slope = (-45 - (-21) )/(5-2) = -8
which rules out C and D
Sub (2, -21) into B which is y = -8x + 5 and your choice
LS = -21
RS = -8(2) + 5 = -11
so , Nope, it is not B
Mmmhhh, I wonder .....

Thank you!

do you mind if I ask another?

which is a rule that describes the translation of a point form (4, -8) to (7, -10)?

A.(x,y) --> (x + 3, y - 2)

B. (x,y) --> (x + 3, y + 2)

C.(x,y) --> (x - 3, y - 2)***

D.(x,y) --> (x - 3, y + 2)

hmmm. does 4-3 = 7?

To determine which equation the given ordered pairs belong to, we need to substitute the values of the x-coordinate and y-coordinate into each equation and see which equation yields the same result as the given ordered pairs.

Let's start with option B: y = -8x + 5

For the first ordered pair (2, -21):
- Substitute x = 2 and y = -21 into the equation:
-21 = -8(2) + 5
-21 = -16 + 5
-21 = -11

The result is not the same as the y-coordinate given, so option B is not the correct equation.

Let's move on to the next option.

Now consider option D: y = 8x + 5

For the first ordered pair (2, -21):
- Substitute x = 2 and y = -21 into the equation:
-21 = 8(2) + 5
-21 = 16 + 5
-21 = 21

Again, the result is not the same as the y-coordinate given, so option D is also not the correct equation.

Let's proceed to the next option.

Now consider option A: y = -8x - 5

For the first ordered pair (2, -21):
- Substitute x = 2 and y = -21 into the equation:
-21 = -8(2) - 5
-21 = -16 - 5
-21 = -21

Finally, the result matches the y-coordinate given. Therefore, option A is not the correct equation.

The correct equation is option C: y = 8x - 5.

To summarize, the ordered pairs (2, -21) and (5, -45) are solutions to the equation y = 8x - 5, which corresponds to option C.