Answer: [tex]m=-1.714[/tex]
Step-by-step explanation:
By definition, the slope of the line is described as "Rate of change".
You need to use the following formula to calcualte the slope of the line;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this case you know that the line passes through these two points: (8, -10) and (-6, 14).
Then, you can say that:
[tex]y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6[/tex]
Knowing these values, you can substitute them into the formula for calculate the slope of a line:
[tex]m=\frac{-10-14}{8-(-6)}[/tex]
Finally, you must evaluate in order to find the slope of this line. You get that this is:
[tex]m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714[/tex]
Answer: m=-1.714
I had this for a question in school. My teacher put it as right.
