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.