What is the slope of the line passing through the following points: $(1,-4), (2,-5)$ ?

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Answer 1 · 2018-04-19T22:15:46

$-1$

To find the slope between two points, it is helpful to use the slope formula:

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

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

Let's call $(1,-4)$ Point 1, so:
$x_1 = 1$
$y_1 = -4$

And let's call $(2, -5)$ Point 2, so:
$x_2 = 2$
$y_2 = -5$

Now plug those values into the equation:

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

$m = (-5 - -4)/(2-1)$

$m = (-5 + 4)/(2 -1$

$m = (-1)/1$

$m = -1$

The slope between these two points is $-1$ .

What is the slope of the line passing through the following points: (1,-4), (2,-5) (1,-4), (2,-5)?