Final answer:
The slope of the line passing through the points (1,1) and (5,3) is calculated using the slope formula and results in a slope of 0.5.
Step-by-step explanation:
To find the slope of the line containing the two points (1,1) and (5,3), you use the slope formula, which is m = (Y2 - Y1) / (X2 - X1), where (X1, Y1) and (X2, Y2) are the coordinates of the two points. Plugging in our points, the calculation will look like this:
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- X1 = 1, Y1 = 1
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- X2 = 5, Y2 = 3
You will subtract the Y values and the X values and then divide the two results to get the slope, thus:
m = (3 - 1) / (5 - 1) = 2 / 4 = 0.5
So, the slope of the line is 0.5, which means for every increase of 1 on the horizontal axis (x-axis), there's a rise of 0.5 on the vertical axis (y-axis).