Find the slope of a line parallel to the line whose equation is x, minus, 2, y, equals, minus, 18x−2y=−18. Fully simplify your answer.
Question
Find the slope of a line parallel to the line whose equation is
Fully simplify your answer.
Solution
The given equation is x - 2y = -18.
Step 1: Convert the equation into slope-intercept form (y = mx + b), where m is the slope of the line.
x - 2y = -18 2y = x + 18 y = 1/2x + 9
Step 2: Identify the slope of the given line. In this case, the slope (m) of the given line is 1/2.
Step 3: The slope of a line parallel to the given line would be the same as the slope of the given line.
Therefore, the slope of the line parallel to the given line is 1/2.
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