## dmezzullo 2 years ago Which of the following is the slope between the two points (-3, 1) and (3, -6)? six sevenths -six sevenths seven sixths -seven sixths

1. hartnn

The slope of the line through points (x1,y1) and (x2,y2) is given by : $$\huge m=\frac{y_1-y_2}{x_1-x_2}$$ now,just put the values and find m.

2. ZeHanz

Given the points (x1,y1) and (x2,y2), the slope is (y2-y1)/(x2-x1). Go and do the math. It works. Every time!

3. dmezzullo

Is it possible to have it in simple terms lol?

4. hartnn

you first take the difference of y values, then take difference of x values, then just divide them...

5. hartnn

so, whats the difference of y values?

6. hartnn

do u have difficulty figuring out y values ?

7. dmezzullo

yes

8. ZeHanz

Should be as difficult as the x values ;)

9. dmezzullo

So divide -3 by 3 and 1 by 6?

10. hartnn

|dw:1359650325553:dw| now ?

11. hartnn

no...not divide....subtract.

12. dmezzullo

so divide -3 by y and +3 by x?

13. hartnn

no...y values are 1 and -6, right ? so, 1-(-6) =... ?

14. ZeHanz

There is another way. Imagine you are at the leftmost point, (-3,1). Now, to get to the rightmost point, (3,-6) you have to go 6 steps to the right, and 7 steps down (just count), so a vertical move of -7. Now ask yourself: what is the vertical move if I would go 1 (one) step to the right along the line? That is its slope.

15. dmezzullo

OHHHHH WOULD THE ANSWER BE 6/7 THEN?

16. ZeHanz

No, it would be negative, because you have to go down if you go from the leftmost to the rightmost point. Further, while you go 6 steps to the right, you go 7 steps down, so that is more than 1 unit per step...

17. dmezzullo

OHHH i see now, i was thinkin go up not down.

18. dmezzullo

tyvm

19. ZeHanz

20. dmezzullo

-6/7

21. ZeHanz

THe minus sign is good. Now think about 6/7: it is smaller than 1. That is not good, because if you go 1 unit to the right, you go more than 1 unit down...

22. dmezzullo

wait so would it be -7/6 then?

23. ZeHanz

Yes! Try to remember this way of doing it!