SOLUTION: 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 :)

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 :)

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I assume you are looking for a line parallel to the one given and passing through the point (5,0).
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.
Parallel lines have the same slope.
Slope is the difference in y-coordinate for two points on the line, divided by the corresponding difference in x coordinates.
If a point (x, y) and (5,0) are on a line with slope 1, then
---> --->
is the one and only slope-intercept form of the equation of the line.
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

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.
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