How do you find the slope of the line through the points (3,3)and (4,0)?

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Answer 1 · 2018-04-05T14:01:58

$- 3$ $-3$

We will use the slope formula to find the slope between these two points. The formula is essentially:

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

The actual formula is:

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

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

And we'll call $(4, 0)$ $(4,0)$ Point 2, so:
$x_{2} = 4$ $x_2 = 4$
$y_{2} = 0$ $y_2 = 0$

Now we can substitute those in and solve:
$m = \frac{0 - 3}{4 - 3}$ $m = (0 - 3)/(4 - 3)$

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

$m = - 3$ $m = -3$

The slope of this line is $- 3$ $-3$ .