A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is tr
ue?
a:A, B, C, and D lie on the same line.
B: AB and CD are perpendicular lines.
C: AB and CD are parallel lines.
D: AB and CD are intersecting lines but are not perpendicular.
E: AC and BD are parallel lines.
a:A, B, C, and D lie on the same line.
B: AB and CD are perpendicular lines.
C: AB and CD are parallel lines.
D: AB and CD are intersecting lines but are not perpendicular.
E: AC and BD are parallel lines.
2 answers:
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Answer:
C)
Step-by-step explanation:
Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.
All the given options for the line of best fit are linear equations.
Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.
Linear equation:
(where is the slope and
is the y-intercept)
From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8. So this suggests that options C or D are the solution.
We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).
Therefore, C is the solution, and the closet approximation to the line of best fit is
