Answer:
a. The slope is 3
b. The slope is 1
Step-by-step explanation:
We can calculate the slope of a line with the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
a. Knowing that the line passes through the points (3,5) and (-1,-7), we can identify that:
[tex]y_2=-7\\y_1=5\\\\x_2=-1\\x_1=3[/tex]
Then, substituting values into the formula, we get that the slope of this line is:
[tex]m=\frac{-7-5}{-1-3}\\\\m=\frac{-12}{-4}\\\\m=3[/tex]
b. Choose two points from the table. Let's choose:
[tex](-2,-7)\\\\(2,-3)[/tex]
In this case:
[tex]y_2=-7\\y_1=-3\\\\x_2=-2\\x_1=2[/tex]
Then, substituting values into the formula, we get that the slope of this line is:
[tex]m=\frac{-7-(-3)}{-2-2}\\\\m=\frac{-4}{-4}\\\\m=1[/tex]
