Question

"Find the slope of the line that passes through each of the points. Make sure you simplify!! Justify how you got your answer in the space below."

(-2, -4) and (0, -2)

Answer 1

The slope of the line passing through the given points is 1.

Step-by-step explanation:

To find the slope of the line passing through the points (-2, -4) and (0, -2), we can use the formula for slope, which is given by:

slope = (y_2 - y_1) / (x_2 - x_1)

Let's substitute the coordinates of the points into the formula:

x_1 = -2, y1 = -4

x_2 = 0, y2 = -2

slope = (-2 - (-4)) / (0 - (-2))

First, we simplify the numerator:

-2 - (-4) = -2 + 4 = 2

Next, we simplify the denominator:

0 - (-2) = 0 + 2 = 2

Now we can calculate the slope:

slope = 2 / 2 = 1

Therefore, the slope of the line passing through the points (-2, -4) and (0, -2) is 1.