How do you find the slope of the line through the points (3,3)and (4,0)?

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Answer 1 · 2018-04-05T14:01:58

#-3#

We will use the slope formula to find the slope between these two points. The formula is essentially:

#"rise"/"run" = "change in y"/"change in x"#

The actual formula is:

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

I will call #(3,3)# Point 1, so:
#x_1 = 3#
#y_1 = 3#

And we'll call #(4,0)# Point 2, so:
#x_2 = 4#
#y_2 = 0#

Now we can substitute those in and solve:
#m = (0 - 3)/(4 - 3)#

#m = (-3)/1#

#m = -3#

The slope of this line is #-3#.