document.write( "Question 535685: Write an equation of the line that is parallel to the given line y = x + 3 and the given point (5,0). PLEASE answer this question! Thanks so much :)
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Algebra.Com's Answer #351983 by KMST(5328) $\"\"$ $\"About$

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I assume you are looking for a line parallel to the one given and passing through the point (5,0).
\n" ); document.write( " $\"y+=+x+%2B+3\"$ is the equation of a line in the slope-intercept form that starts with \"y=\", tells you that the slope is 1 (the number invisibly multiplying the x) and the y intercept has y=3.
\n" ); document.write( "Parallel lines have the same slope.
\n" ); document.write( "Slope is the difference in y-coordinate for two points on the line, divided by the corresponding difference in x coordinates.
\n" ); document.write( "If a point (x, y) and (5,0) are on a line with slope 1, then
\n" ); document.write( " $\"slope+=+1=+%28y-0%29%2F%28x-5%29\"$ ---> $\"y-0=1%2A%28x-5%29\"$ ---> $\"y=x-5\"$
\n" ); document.write( " $\"y=x-5\"$ is the one and only slope-intercept form of the equation of the line.
\n" ); document.write( "In general, when you have the slope and a point from a line, you can write the equation of the line in a form called the point-slope form by substituting values for letters in a complicated formula to end with something like
\n" ); document.write( " $\"y-0=1%2A%28x-5%29\"$
\n" ); document.write( "where the coordinates of the known point are subtracted from x and y, and the difference in y's is called equal to the slope multiplied by the difference in x's. For each line, there are as many equations in point-slope form as points in the line. Answers in slope-intercept form are easier to compare. \n" ); document.write( "

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