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Which equation represents a line which is parallel to the line 2y-5x=-162y−5x=−16?

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Answer:

Explanation:

For two lines to be parallel to each other, they must have the same slope.

The standard form of expressing equation of a line is y = mx+c

m is the slope.

First let us get the slope of the given line

Given the line 2y-5x = -16

Rerwrite in standard form;

2y-5x = -16

2y = 5x-16

Divide through by 2;

2y/2 = 5x/2 -16/2

y = 5x/2 - 8

The slope of the line is 5/2

Since we are not given options, we can as well say that the equation of the line parallel to this line must have a slope of 5/2 no matter the intercept. Example of such line are;

y = 5/2 x + 2

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