How do you determine the slope of the line passing through (2, 3) and (4, 7)?

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Answer 1 · 2018-05-03T14:37:48

#2#

To find the slope of a line, use the slope formula:

#"slope" = "change in y"/"change in x"#

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

I will call #(2,3)# Point 1, so:
#x_1 = 2#
#y_1 = 3#

I will call #(4,7)# Point 2, so:
#x_2 = 4#
#y_2 = 7#

Now substitute those values into the slope formula and simplify:

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

#m = (7 - 3)/(4-2)#

#m = 4/2#

#m = 2#

The slope of a line passing through #(2,3)# and #(4,7)# is #2#:

As you can see if I graph this line, the slope is #2#:
graph{y=2x -1 [-10, 10, -5, 5]}