dmezzullo
  • dmezzullo
Which of the following is the slope between the two points (-3, 1) and (3, -6)? six sevenths -six sevenths seven sixths -seven sixths
Mathematics
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SOLVED
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chestercat
  • chestercat
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hartnn
  • 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.
ZeHanz
  • 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!
dmezzullo
  • dmezzullo
Is it possible to have it in simple terms lol?

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hartnn
  • hartnn
you first take the difference of y values, then take difference of x values, then just divide them...
hartnn
  • hartnn
so, whats the difference of y values?
hartnn
  • hartnn
do u have difficulty figuring out y values ?
dmezzullo
  • dmezzullo
yes
ZeHanz
  • ZeHanz
Should be as difficult as the x values ;)
dmezzullo
  • dmezzullo
So divide -3 by 3 and 1 by 6?
hartnn
  • hartnn
|dw:1359650325553:dw| now ?
hartnn
  • hartnn
no...not divide....subtract.
dmezzullo
  • dmezzullo
so divide -3 by y and +3 by x?
hartnn
  • hartnn
no...y values are 1 and -6, right ? so, 1-(-6) =... ?
ZeHanz
  • 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.
dmezzullo
  • dmezzullo
OHHHHH WOULD THE ANSWER BE 6/7 THEN?
ZeHanz
  • 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...
dmezzullo
  • dmezzullo
OHHH i see now, i was thinkin go up not down.
dmezzullo
  • dmezzullo
tyvm
ZeHanz
  • ZeHanz
So what is the answer?
dmezzullo
  • dmezzullo
-6/7
ZeHanz
  • 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...
dmezzullo
  • dmezzullo
wait so would it be -7/6 then?
ZeHanz
  • ZeHanz
Yes! Try to remember this way of doing it!

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