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The scales on both axes of the standard (x,y) coordinate plane below (September 2023 - G01)

Updated on 05/13/2024

The scales on both axes of the standard (x,y) coordinate plane below are the same. Of the following values, which one is the best estimate for the slope of the line graphed in the plane?

Question 10 - ACT 2023 G01 - Math Test

E. -5
G. - 1/5
H. 1/5
J. 3/5
K. 5


Solution

Correct answer: G. - 1/5.
Observe the direction of the line on the graph. Since the line is trending downward from left to right, it has a negative slope.
Determine the relationship between the rise and the run of the line. The run is greater than the rise, which means the slope is less than 1 in absolute value.
Among the given options, the only negative fraction less than 1 in absolute value is - 1/5

Exam Edition: September 2023 - G01

Exam Year: 2023

Related topics: Coordinate plane, Graph interpretation

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