What is the slope of the line passing through the following points: # (-4,-2), (-3,8) #?

2 Answers
Apr 4, 2016

The slope is #10#.

Explanation:

Slope is #"rise"/"run"#, or the change in the #y# coordinate divided by the change in #x#.

Mathematically this is written

#(deltay)/(deltax)#

To calculate change in a coordinate, take the second one and subtract the first.

#deltay = 8 - (-2) = 10#
#deltax = -3 - (-4) = 1#

Therefore the slope is

#(deltay)/(deltax) = 10/1 = 10#

Apr 4, 2016

10

Explanation:

Slope is rise over run, in other words, the change in the #y# divided by the change in #x#.
'Change in' is the difference between the numbers, so
#(y_2-y_1)# divided by #(x_2-x_1)#

#(8- -2)/(-3- -4) =(10)/(1) = 10#