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

1 Answer
Apr 5, 2018

$- 3$

Explanation:

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

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

The actual formula is:

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

I will call $\left(3 , 3\right)$ Point 1, so:
${x}_{1} = 3$
${y}_{1} = 3$

And we'll call $\left(4 , 0\right)$ Point 2, so:
${x}_{2} = 4$
${y}_{2} = 0$

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

$m = \frac{- 3}{1}$

$m = - 3$

The slope of this line is $- 3$.