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28 May 2025, 08:29
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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(N/A)
Question Stats:
100% (02:13) correct
0% (00:00) wrong based on 2 sessions
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Line r is a straight line as shown above. Which of the following points lies on line r?
A. (6,6)
B. (7,3)
C. (8,2)
D. (9,3)
E. (10,2)
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31 May 2025, 02:13
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OE
Line r intercepts the y-axis at (0,-2), so you can plug -2 in for b in the slope-intercept form of a linear equation. Line r has a rise (∆y) of 2 and a run (∆x) of 5, so its slope is 2/5. That makes the slope-intercept form \(y=\frac{2}{5}x-2.\)
The easiest way to proceed from here is to substitute the coordinates of each answer choice into the equation in place of x and y; only the coordinates that satisfy the equation can lie on the line. Choice (E) is the best answer to start with, because 10 is the only x-coordinate that will not create a fraction on the right side of the equal sign. Plugging in (10,2) for x and y in the slope-intercept equation gives you \(2=\frac{2}{5}10-2.\) , which simplifies to 2 = 4 - 2.
That’s true, so the correct answer choice is (E).
Line r intercepts the y-axis at (0,-2), so you can plug -2 in for b in the slope-intercept form of a linear equation. Line r has a rise (∆y) of 2 and a run (∆x) of 5, so its slope is 2/5. That makes the slope-intercept form \(y=\frac{2}{5}x-2.\)
The easiest way to proceed from here is to substitute the coordinates of each answer choice into the equation in place of x and y; only the coordinates that satisfy the equation can lie on the line. Choice (E) is the best answer to start with, because 10 is the only x-coordinate that will not create a fraction on the right side of the equal sign. Plugging in (10,2) for x and y in the slope-intercept equation gives you \(2=\frac{2}{5}10-2.\) , which simplifies to 2 = 4 - 2.
That’s true, so the correct answer choice is (E).
