Good afternoon!
I don't really understand this question can someone please walk me through this?
The ordered pairs (2, -17) and (5, -35) are solutions to which of the following equations?
A. y = -6x + 5
B. y = 6x - 5
C. y = 6x + 5
D. y = -6x - 5
Thank you in advance! :)
Never mind someone explained this question to me :)
equation of the two point
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y+17)/(x-2)=(-35+17)/(5-2)
(y+17)/(x-2)=-6)
y+17=6x+12
y=6x-5
Thank you I put this in my notes just in case I ever have a difficult time understanding. :D
Good afternoon! I'd be happy to help you walk through this question.
To determine which equation the ordered pairs (2, -17) and (5, -35) are solutions to, we need to check if plugging in the x and y values into each equation results in a true statement.
Let's start by checking equation A: y = -6x + 5
For the first ordered pair (2, -17):
Plugging in x = 2 and y = -17 into equation A gives us:
-17 = -6(2) + 5
Simplifying this equation, we get:
-17 = -12 + 5
-17 = -7
Since -17 is not equal to -7, the equation A is not satisfied by the first ordered pair. Therefore, we can eliminate option A.
Now let's move on to equation B: y = 6x - 5
For the first ordered pair (2, -17):
Plugging in x = 2 and y = -17 into equation B gives us:
-17 = 6(2) - 5
Simplifying this equation, we get:
-17 = 12 - 5
-17 = 7
Again, -17 is not equal to 7, so equation B is not satisfied by the first ordered pair. We can eliminate option B.
Next is equation C: y = 6x + 5
For the first ordered pair (2, -17):
Plugging in x = 2 and y = -17 into equation C gives us:
-17 = 6(2) + 5
Simplifying this equation, we get:
-17 = 12 + 5
-17 = 17
Once again, -17 is not equal to 17, so equation C is not satisfied by the first ordered pair. We can eliminate option C.
Finally, let's check equation D: y = -6x -5
For the first ordered pair (2, -17):
Plugging in x = 2 and y = -17 into equation D gives us:
-17 = -6(2) - 5
Simplifying this equation, we get:
-17 = -12 - 5
-17 = -17
This time, -17 is equal to -17, which means equation D is satisfied by the first ordered pair (2, -17).
Now, let's check the second ordered pair (5, -35) with equation D:
Plugging in x = 5 and y = -35 into equation D gives us:
-35 = -6(5) - 5
Simplifying this equation, we get:
-35 = -30 - 5
-35 = -35
Again, -35 is equal to -35, which means equation D is also satisfied by the second ordered pair (5, -35).
Therefore, the ordered pairs (2, -17) and (5, -35) are solutions to the equation y = -6x - 5, which corresponds to option D.
I hope this explanation helps! Let me know if you have any further questions.