Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Slope formula is:
[tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1}}[/tex]
Let's plug-in our numbers.
[tex]\frac{12 - 8}{4 - 10} = \frac{4}{-6} = -\frac{4}{6}[/tex]
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!
[tex]-\frac{4\div2}{6\div2} = -\frac{2}{3}[/tex]
So, our slope is [tex]-\frac{2}{3}[/tex]
Another way to solve this is [tex]\frac{rise}{run}[/tex]
I have shown how to do this in the picture below. We get the same answer solving this way as well.
~ [tex]InLoveWithPugs[/tex]
[tex]Math \ Enthusiast\\Moderator[/tex]
