How do you find the slope of the line passing through the points (-7,3) and (3,8)?

4 Answers
Mar 26, 2018

#1/2#

Explanation:

#m=(y_1-y_2)/(x_1-x_2) or (y_2-y_1)/(x_2-x_1)#
#p_1(-7,3)#
#p_2(3,8)#
#m=(3-8)/(-7-3)=(-5)/(-10)=1/2#

Mar 26, 2018

Need to find the change in #x# and #y#
#Deltax=3--7=10#
#Deltay=8-3=5#

We know that slopes and gradients are merely just the rise over the run or the change in y over the change in x #(Deltay)/(Deltax)=5/10=1/2#

Mar 26, 2018

1/2

Explanation:

#m=(y_"2"-y_"1")/(x_"2"-x_"1")#

#m=(3-8)/(-7-3)= (-5)/-10=1/2#

Mar 26, 2018

The slope is #1/2#

Explanation:

Slope is defined as the change in y over x- #(Deltay)/(Deltax)#, or as my math teacher always said:

"The rise over the run"

(You rise vertically=(y-direction) and run horizontally= (x-direction)

This can be written as:

Slope=#(y_2-y_1)/(x_2-x_1)#

Then we just plug in your two points x and y values (which point you decide to allocate to 1 or 2 does not matter)

Slope=#(8-3)/((3)-(-7))=(5/10)=(1/2)#