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What is the equation in slope intercept form of the line that passes through the point (2,0) and is parallel to the line represented by y = 4.5x + 2.7?

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The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The equation of the given line is

y = 4.5x + 2.7

By comparing the equation with the slope, intercept form, it means that

slope, m = 4.5

If two lines are parallel, it means that they have the same slope. Given that the line that passes through the point(2, 0) is parallel to the given line, t means that the slope of ths line is 4.5

We would substitute x = 2, y = 0 and m = 4.5 into the slope intercep equation to determine c. It becomes

0 = 2 * 4.5 + c

0 = 9 + c

c = 0 - 9 = - 9

Substituting c = - 9 and m = 4.5 into the slope intercept equation, t

The equation of the line would be

y = 4.5x - 9

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