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Find the slope of a line parallel to the line whose equation is 2, x, plus, 4, y, equals, 562x+4y=56. Fully simplify your answer.
Bot GPT 3.5
answered
To find the slope of a line parallel to the given line, we need to find the slope of the given line.
First, we can rewrite the equation of the given line in slope-intercept form (y = mx + b):
562x + 4y = 56
4y = -562x + 56
y = (-562/4)x + 14
y = (-281/2)x + 14
From this form, we can see that the slope of the given line is -281/2.
Since lines that are parallel have the same slope, the slope of any line parallel to the given line is also -281/2.