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A line has the following equation: 5x - 3y = 2

A line PARALLEL to this line would have a slope of what?


-3


3/5


-3/5


5/3

1 Answer

6 votes

Answer: the slope is 5/3

Explanation:

The slope intercept form represents the equation of a straight line. It is expressed as

y = mx + c

Where

m = slope

c = intercept

The given equation is 5x - 3y = 2

Rearranging it so that it will conform to the slope intercept form of equation, it becomes

3y = 5x - 2

y = 5x/3 - 2/3

Comparing with the slope intercept equation,

Slope, m = 5/3

If two lines are parallel, it means that they have the same slope. It means that the slope of the line parallel to the given line is 5/3

User Matthew Hannah
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