Source: Magoosh
In the xy-coordinate system, line k passes through points (-5m, 0) and (0, 2m). Which of the following is a possible equation of line k?
A. y = -5/2*x + 2m
B. y = 2/5*x - 5m
C. y = 5/2*x + 2m
D. y = 2/5*x + 2m
E. y = -2/5*x - 5m
The OA is D
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In the xy-coordinate system, line k passes through points (-5m, 0) and (0, 2m). Which of the following is a...
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BTGmoderatorLU
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Solution:BTGmoderatorLU wrote: ↑Tue Nov 10, 2020 10:48 amSource: Magoosh
In the xy-coordinate system, line k passes through points (-5m, 0) and (0, 2m). Which of the following is a possible equation of line k?
A. y = -5/2*x + 2m
B. y = 2/5*x - 5m
C. y = 5/2*x + 2m
D. y = 2/5*x + 2m
E. y = -2/5*x - 5m
The OA is D
First, we determine the slope of line k:
(2m - 0)/(0 - (-5m)) = 2m/(5m) = 2/5
Next, we substitute (0, 2m) into the slope-intercept form of a line to determine the y-intercept.
2m = 2/5(0) + b
2m = b
So, the equation for line k is y = (2/5)x + 2m
Answer: D
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