Question

Find the slope of the line that passes through the points (10,8) and (4,12).

Answer 1

Answer:

$-\frac{2}{3}$

Step-by-step explanation:

Slope formula is:

$\frac{y_{2} - y_{1} }{x_{2}-x_{1}}$

Let's plug-in our numbers.

$\frac{12 - 8}{4 - 10} = \frac{4}{-6} = -\frac{4}{6}$

Now, we must simplify the fraction. We can do this by by finding the GCF (Greatest Common Factor). Let's list out what 6 and 4 have in common.

What can 6 be divided into?

2 * 3 = 6

1 * 6 = 6

What can 4 be divided into?

2 * 2 = 4

1 * 4 = 4

The GCF of these two numbers is 2!

$-\frac{4\div2}{6\div2} = -\frac{2}{3}$

So, our slope is $-\frac{2}{3}$

Another way to solve this is $\frac{rise}{run}$

I have shown how to do this in the picture below. We get the same answer solving this way as well.

~ $InLoveWithPugs$

$Math \ Enthusiast\\Moderator$

Answer 2

Answer:

-2/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ]. Use the given points to substitute and solve.

12-8/4-10

4/-6

-2/3

Best of Luck!