Parallel lines have the same slope. Therefore, the other line must also have a slope of -1/2.
Given the value of slope (m) = -1/2, and the other point, (-4, 1), we can substitute its values into the slope-intercept form, y = mx + b to solve for the y-intercept of the other line.
y = mx + b
1 = -1/2(-4) + b
1 = 2 + b
Subtract 2 from both sides to solve for b:
1 -2 = 2 - 2 + b
-1 = b
Therefore, the y-intercept of the other line is b = -1.
The equation of the line parallel to y = -1/2x + 6 is:
y = -1/2x - 1
Attached is a screenshot of the graph of both lines to show that y = -1/2x - 1 is parallel to y = -1/2x + 6.
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