Final answer:
To determine the coordinates of the other endpoint, we can use the slope-intercept form of a linear equation. By substituting different x-values, we can find the corresponding y-values. None of the given options satisfy the equation.
Step-by-step explanation:
To determine the coordinates of another possible endpoint B, we can use the slope-intercept form of a linear equation, which is y = mx + b. The given slope is -3/5 and the coordinates of endpoint A are (-3, 2). Let's substitute the values into the equation:
y = (-3/5)x + b
2 = (-3/5)(-3) + b
2 = 9/5 + b
2 - 9/5 = b
10/5 - 9/5 = b
1/5 = b
So, the equation for the line is y = (-3/5)x + 1/5. By substituting different values for x, we can find the corresponding y-values for endpoint B. Let's check the options:
A. B(-5, 4): y = (-3/5)(-5) + 1/5 = 3 + 1/5 = 16/5 ≠ 4
B. B(-1, 0): y = (-3/5)(-1) + 1/5 = 3/5 + 1/5 = 4/5 ≠ 0
C. B(0, 3): y = (-3/5)(0) + 1/5 = 0 + 1/5 = 1/5 ≠ 3
D. B(-6, 1): y = (-3/5)(-6) + 1/5 = 18/5 + 1/5 = 19/5 ≠ 1
None of the options satisfy the equation, so there is no possible endpoint B among the given options.