Find the equation of the line that contains the given point and is parallel to the given line. ( parenthesis- 1 ,-5 )y = 2

Answer 1

y = 2 is the equation of the line passing through all points with a y coordinate of 2. This line is horizontal. Some points that is passes through (1,2), (-23,2), (400, 2).

Any line parallel to that one is also horizontal so has an equation y = k, where k is the y-coordinate of all the points it passes through. Since the line is supposed to pass through the point (-1, -5), k = -5.

So the equation of a line parallel to the line y = 2, passing through that point is y = -5.

Visit this Desmos graph and use the slider on point P to see some of the infinitely many points that lie on the line y = -5.

desmos.com/calculator/4ogtizoicc

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