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]}