SOLUTION: write the equation of line passing through (-2,4) that is parallel to the line y=1/2x-2

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Question 640472: write the equation of line passing through (-2,4) that is parallel to the line y=1/2x-2
Answer by solver91311(24713) About Me  (Show Source):
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Please note that you cannot write "the" equation of any line. You can only write "an" equation of a line. In the first place, you could just substitute the values in the point-slope form and have an equation of the desired line, or you could solve for to put it into slope-intercept form, or you could rearrange it into standard form, namely . Furthermore, for a given , , and , where describes a set of equations with an infinite number of elements, each of which graphs to the same line in .

First determine the slope of the graph represented by the given equation. This equation is in slope-intercept form, so the slope is equal to the coefficient on .

Next, determine the slope of the desired line using:



Use the point-slope form of an equation representing a straight line graph.



where are the coordinates of the given point and is the determined slope.

John

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