How do you find the slope for (2,5); (9,1)?

3 Answers
Mar 20, 2018

#m=-4/7#

Explanation:

Let #(2,5)# be #(x_1,y_1)# and #(9,1)# be #(x_2,y_2)#.
Now, to find the slope we use this simple formula,
#m=(y_2−y_1)/(x_2−x_1)#
Substituting the values, we get,
#m=(1−5)/(9−2)#
#:.m=-4/7#

Hope this helps :)

Mar 20, 2018

See a solution process below:

Explanation:

The formula for find the slope of a line is:

#m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

Where #(color(blue)(x_1), color(blue)(y_1))# and #(color(red)(x_2), color(red)(y_2))# are two points on the line.

Substituting the values from the points in the problem gives:

#m = (color(red)(1) - color(blue)(5))/(color(red)(9) - color(blue)(2)) = -4/7#

Mar 20, 2018

-4/7

Explanation:

The equation of line passing though two points is given by
# y-y_1=m(x-x_1)#
where m is known s slope and it is given by
#m=(y_2-y_1)/(x_2-x_1#