how do you find the slope of the line through each pair of points like (5,1)and(2,7)?

Answer 1

slope equals Rise over Run

So the different of the Y vaules/ difference of x vaules

7-1/ 2-5 = 6/-3 = -2

Answer 2

Point-slope formula:

y - y1 = m(x - x1)

(x1 , y1) is either (5,1) or (2,7), it doesn't matter which on you use.
m is the slope

Find the slope using both points given:

Slope = m = (y2 - y1) / (x2 - x1)
=(7 - 1) / (2 - 5) = -6/3 = -2


Use (5 , 1) for (x1 , y1)
y - 1 = -2(x - 5)
y = -2x + 10 + 1
y= -2x + 11

Answer 3

Slope is defined as change in y over change in x, otherwise known as rise over run. In mathematical terms, the equation looks similar to this:

Slope = (Y2-Y1) / (X2-X1)

In your example Y2 = 7 and Y1 = 1 whereas X2 = 2 and X1 = 5.

Therefore your slope will be: (7-1)/(2-5) = 6/-3 = -2

If you need a more detailed explaination, here's a website that should help you more: http://www.purplemath.com/modules/slope.htm

Answer 4

The slope is the difference between the y-coordinates divided by the difference between the x-coordinates.
m= (y2 -y1)/ (x2 -x1)

for your points, the slope is (7 -1)/ (2 -5) = 6/-3 = -2

Answer 5

Slope is rise over run, so for any pair of (x, y) coordinates, the slope is

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

So the slope of your line is (1-7)/(5-2) = -2

Answer 6

the slope is the change in y over the change in x (rise over run)

so if you have the two points (a,b) and (c,d), you would go (d-b)/(c-a).

in this case: (7-1)/(2-5) = 6/-3 = -2

Answer 7

( 5 , 1 ) ( 2 , 7 )

7 - 1 / 2 - 5 = - 2

Answer 8

7-1/2-5 = 6/-3= -2
y sub 2 minus y sub 1 over x sub 2 -x sub 1

Answer 9

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

m = (7 - 1)/(2 - 5)
m = 6/(-3)
m = -2

ANS : Slope = -2

Answer 10

(y2-y1)/(x2-x1)

7-1/2-5

6/-3

-2 that is the slope