Question

A line has slope -5/3. Through which two points could this line pass?

A: (12,13), (17,10)
B: (16,15), (13,10)***
C: (0,7), (3,10)
D: (11,13), (8,18)***

My Explanation: I know how to use the formula for slope, which is y2 -y1 over x2 - y2, so I know how to solve the problem. The thing I'm struggling with is that when I solved the problem using the forumla for the answers 2 and 4, it got the same answer. Lets dial it down. Using the formula for answer 2, it leads to 10 - 15 which is -5 and 13 - 16 which is -3, so its -5/-3. Couldn't -5/-3 also be -5/3? Because -5/3 is the solution when using the forumla for answer 4. Thank you if you read all of this. I appreciate the feedback and support!

Answer 1

After thinking about it, two negatives cancel out to be neutral so the answer is D. No need for any feedback now.

Answer 2

m = (y2 - y1) / (x2 - x1)

if x and y change in the SAME direction (up or down), then the slope is positive

if they change in opposite directions, the slope is negative

-5/-3 is not the same as -5/3
... one is positive, the other negative

Answer 3

can we get all the answers LMAO

Answer 4

Hi! Rate of Change and Slope Answers:

1. C -1/3
2. D (11,13),(8,18)
3. B -2
4. D Undefined
5. D 55/1

Hope this helps!

Answer 5

Thanks, Hinata, if you go to Connexus those answers are correct. Just got a 100%.