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

Question

6679 views around the world

You can reuse this answer
Creative Commons License

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]}