Question

Find the slope of the line that connects the points open parentheses 6 comma space negative 1 close parentheses and open parentheses negative 2 comma space negative 7 close parentheses.

Write your answer as a decimal rounded to two decimal places if necissary.

Answer 1

The slope of the line connecting the points (6, -1) and (-2, -7) is 0.75.

Step-by-step explanation:

To find the slope of a line that connects two points, you use the formula Δy/Δx, which is the change in y divided by the change in x. In this case, the points are (6, -1) and (-2, -7).

The change in y (Δy) is -7 - (-1) = -6, and the change in x (Δx) is -2 - 6 = -8. So the slope of the line is -6/-8, which simplifies to 3/4, or 0.75 when converted to a decimal.