In the xy-coordinate system, line k passes through points (-5m, 0) and (0, 2m). Which of the following is a...

[BTGmoderatorLU]

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

[Scott@TargetTestPrep]

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