Question

What is the slope of a line that passes through these two points, (4, 17) and (-1,0)?"

Answer 1

The slope of the line passing through the points (4, 17) and (-1, 0) is calculated using the slope formula and is found to be 3.4.

Step-by-step explanation:

To find the slope of a line that passes through two points, we use the formula slope (m) = (y2 - y1) / (x2 - x1). For the points (4, 17) and (-1, 0), we plug the coordinates into the formula as follows:

1. Identify the coordinates of the two points: Point 1 (x1, y1) = (4, 17) and Point 2 (x2, y2) = (-1, 0).
2. Substitute the coordinates into the slope formula: slope (m) = (0 - 17) / (-1 - 4) = (-17) / (-5).
3. Simplify the fraction to find the slope: slope (m) = 17/5 = 3.4.

Therefore, the slope of the line passing through the points (4, 17) and (-1, 0) is 3.4.