In order to determine the slope of a line parallel to the one shown in the graph, we must first find the slope of the given line.
The given line passes through the points (0, 4) and (3, 1).
The formula to calculate the slope between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Using the points (0, 4) and (3, 1) in the formula:
m = (1 - 4) / (3 - 0)
m = (-3) / 3
m = -1
Therefore, the slope of the given line is -1.
Since parallel lines have the same slope, the slope of any line parallel to the given line is also -1.
Guided Practice
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What is the slope of a line that is parallel to the line shown in this graph?
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