Question

Find the slope of the line through P and Q.
P(4, 3), Q(−1, 0)

Answer 1

y1-y=m(x1-x)
m=(3-0)/(4-(-1))
m=...?

Answer 2

its the ratio of how far y moves with respect to how far x moves

Answer 3

y moves from 3 to 0; -3
x moves from 4 to -1; -5

slope is the ratio of -3 to -5

Answer 4

so what is the slope lol i dont understand what you are saying

Answer 5

a ratio is another way to say "its a fraction".

Answer 6

so -3/5

Answer 7

?

Answer 8

close :) the negatives cancel each other out and your left with 3/5

Answer 9

gotcha so the answer is 3/5

Answer 10

correct

Answer 11

what about for this one P(3, −9), Q(−3, 8)

Answer 12

If we view these as P(x,y) and Q(x,y)

the ratio is then: (Py-Qy)/(Px-Qx)

Answer 13

Subtract any x value from the other x value.
Subtract the y value from the other y value.
Divide y by x, there is your gradient, or slope.

You can further write an equation for this line by substituting in your x and y values from any point which the graph goes through, to find your "b" in the equation
"y = mx +b"

Answer 14

-72/9?

Answer 15

another way is simply to subtract one point from the other

( 3,-9)
-(-3, 8)
--------

which is the same thing as this:

(3,-9)
+(3,-8)
--------
6,-17 ; now stack the y part over x part

Answer 16

so -17/6

Answer 17

yep; and they like it to be simplified .... but i think thats as simplified as it gets

Answer 18

thanks alot