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

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Answer 1 · 2018-04-02T14:41:38

The slope is $4$ $4$ .

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

$slope = \frac{change in y}{change in x}$ $"slope" = "change in y"/"change in x"$

The actual formula is:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m = (y_2 - y_1)/(x_2 - x_1)$

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

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

Now substitute those values into the equation:

$m = \frac{- 1 - 3}{4 - 5}$ $m = (-1 - 3)/(4 - 5)$

$m = \frac{- 4}{- 1}$ $m = (-4)/(-1)$

$m = 4$ $m = 4$

The slope of this line is $4$ $4$ .

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