Find the slope of the line passing through the points −−4, 3 and −4, 1.slope: Find the slope of the line passing through the points 3, 3 and −3, 3.slope:
Question
Find the slope of the line passing through the points
(-4, 3)(-4, 1)
slope:
Find the slope of the line passing through the points
(3, 3)(-3, 3)
slope:
Solution
To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:
slope = (y2 - y1) / (x2 - x1)
For the first pair of points (-4, 3) and (-4, 1), we substitute into the formula:
slope = (1 - 3) / (-4 - (-4)) = -2 / 0
However, division by zero is undefined in mathematics, which means the slope of the line is undefined. This is consistent with the fact that a vertical line, which this is, does not have a defined slope.
For the second pair of points (3, 3) and (-3, 3), we substitute into the formula:
slope = (3 - 3) / (-3 - 3) = 0 / -6 = 0
So, the slope of the line passing through the points (3, 3) and (-3, 3) is 0. This is consistent with the fact that a horizontal line has a slope of 0.
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