Question

What is the slope of the line that contains these points?

\[x\]
\[39\]
\[40\]
\[41\]
\[42\]
\[y\]
\[36\]
\[29\]
\[22\]
\[15\]

Answer 1

To find the slope of the line containing the points (39, 36) and (40, 29), use the slope formula to get a result of -7, indicating a downward slope.

Step-by-step explanation:

The slope of a line can be calculated with the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are any two points on the line. In your case, you can use the points (39, 36) and (40, 29) to find the slope. Plugging these into the formula, we get:

m = (29 - 36) / (40 - 39) = -7 / 1 = -7.

So, the slope of the line containing these points is -7. This means that for every unit we move to the right along the x-axis, we move 7 units down along the y-axis.