Line's slope.Determine the slope of the parallel line if a line is parallel to the line for the equation: (1/2)y = (1/2)x - 9.

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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Considering the condition of parallelism of two lines, condition that involves the slope, yields that the slope of parallel needs to have the same measure to the slope of the given line (1/2)y = (1/2)x - 9.

You need to find the slope of the given line using the slope intercepts form of the line such that:

y = mx + b

Comparing the form of given line to the slope intercept form yields that you need to transform the equation of the given line such that:

y = ((1/2)/(1/2))*x - 9/(1/2)

 y = x - 18

Comparing  y = x - 18 to y = mx + b yields that m = 1.

Hence, the slope of the parallel line to the line  y = x - 18 is m=1.

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

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The slopes of 2 parallel lines are equal.

We'll have to put the equation of the line in the standard form:

y = ax + b, where a = m is the slope and b is y intercept.

If the equation of the line is:

(1/2)y = (1/2)x - 9

We'll have to divide both sides by (1/2):

y = [(1/2)/(1/2)]x - 9*2

y = x - 18

It is obvious that m = 1 and n is -18.

The slope of the parallel line is m = 1.

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