What is the slope of the line passing through the following points: $(5, 3), (4, -1)$ ?

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Answer 1 · 2018-04-02T14:41:38

The slope is $4$ .

We will use the slope formula to find the slope of this line. The formula is essentially:

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

The actual formula is:

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

We will call $(5,3)$ Point 1 so:
$x_1 = 5$
$y_1 = 3$

We will call $(4,-1)$ Point 2 so:
$x_2 = 4$
$y_2 = -1$

Now substitute those values into the equation:

$m = (-1 - 3)/(4 - 5)$

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

$m = 4$

The slope of this line is $4$ .

What is the slope of the line passing through the following points: (5, 3), (4, -1) (5, 3), (4, -1) ?