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Determine the slope of the line connecting the points K(26,-2) and H(1,-3).

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Final answer:

The slope of the line connecting points K(26,-2) and H(1,-3) is calculated using the formula for slope, (y2 - y1)/(x2 - x1), resulting in a slope of 1/25.

Step-by-step explanation:

To calculate the slope of the line that connects points K(26,-2) and H(1,-3), use the formula for slope which is (change in y)/(change in x), often represented as (y2 - y1)/(x2 - x1). Here, the coordinates of point K are (x1, y1) and the coordinates for point H are (x2, y2). So putting the values into the formula, we get:

Slope (m) = (y2 - y1) / (x2 - x1)

Slope (m) = (-3 - (-2)) / (1 - 26)

Slope (m) = (-3 + 2) / (1 - 26)

Slope (m) = -1 / -25

This simplifies to:

Slope (m) = 1/25

The slope of the line connecting points K and H is 1/25, which means for every increase of 25 units in the x-direction, there is a rise of 1 unit in the y-direction.

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