How do you find the slope of the line passing through the points (3, -4) and (5, 2)?

1 Answer
Apr 25, 2018

Slope#=m=3#

Explanation:

Use the slope formula:

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

Given #(3,-4)# and #(5,2)#

Let:

#(color(red)(3),color(blue)(-4))->(color(red)(x_1),color(blue)(y_1))#

#(color(red)(5),color(blue)(2))->(color(red)(x_2),color(blue)(y_2))#

Substituting in for the slope formula...

#m=color(blue)(2-(-4))/color(red)(5-3)=color(blue)(6)/color(red)(2)=3larr slope#