Two lines are plotted on the same coordinate plane. The first line passes through the points (-5, -5) and (-3, -3). The second line passes through the points (3, 1) and (4, 2). The two lines are best described as: Responsesintersecting, not perpendicular intersecting, not perpendicular intersecting and perpendicularintersecting and perpendicularparallelparallelno relationship
Question
Two lines are plotted on the same coordinate plane. The first line passes through the points (-5, -5) and (-3, -3). The second line passes through the points (3, 1) and (4, 2). The two lines are best described as: Responsesintersecting, not perpendicular intersecting, not perpendicular intersecting and perpendicularintersecting and perpendicularparallelparallelno relationship
Solution
To answer this question, we first need to find the slopes of the two lines.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula (y2 - y1) / (x2 - x1).
For the first line, the slope is (-3 - (-5)) / (-3 - (-5)) = 2 / 2 = 1.
For the second line, the slope is (2 - 1) / (4 - 3) = 1 / 1 = 1.
Since the slopes of the two lines are equal, the lines are parallel.
Therefore, the two lines are best described as parallel.
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