Question

Determine the slope for the line that meets each condition stated. Show your work.

Answer 1

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:

$m=\frac{y_2-y_1}{x_2-x_1}$

a. Knowing that the line passes through the points (3,5) and (-1,-7), we can identify that:

$y_2=-7\\y_1=5\\\\x_2=-1\\x_1=3$

Then, substituting values into the formula, we get that the slope of this line is:

$m=\frac{-7-5}{-1-3}\\\\m=\frac{-12}{-4}\\\\m=3$

b. Choose two points from the table. Let's choose:

$(-2,-7)\\\\(2,-3)$

In this case:

$y_2=-7\\y_1=-3\\\\x_2=-2\\x_1=2$

Then, substituting values into the formula, we get that the slope of this line is:

$m=\frac{-7-(-3)}{-2-2}\\\\m=\frac{-4}{-4}\\\\m=1$