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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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by BTGmoderatorLU » Tue Nov 10, 2020 10:48 am
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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 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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Re: In the xy-coordinate system, line k passes through points (-5m, 0) and (0, 2m). Which of the following is a...

by Scott@TargetTestPrep » Tue Nov 17, 2020 2:13 pm
BTGmoderatorLU wrote: ↑
Tue Nov 10, 2020 10:48 am
 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
Solution:

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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