A linear equation passes through which point in the xy-plane?

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Multiple Choice

A linear equation passes through which point in the xy-plane?

Explanation:
A line in the plane consists of all points that satisfy the linear equation. To see if a point lies on the line, substitute its coordinates into the equation and check if the equality holds. If the equation is y = 2x + 5, then for the point (1,7) you get 7 = 2(1) + 5, which is true, so it lies on the line. The other points don’t satisfy the equation: (0,0) would require 0 = 5, (2,5) would require 5 = 9, and (-1,4) would require 4 = 3. Therefore, (1,7) is the point on the line.

A line in the plane consists of all points that satisfy the linear equation. To see if a point lies on the line, substitute its coordinates into the equation and check if the equality holds. If the equation is y = 2x + 5, then for the point (1,7) you get 7 = 2(1) + 5, which is true, so it lies on the line. The other points don’t satisfy the equation: (0,0) would require 0 = 5, (2,5) would require 5 = 9, and (-1,4) would require 4 = 3. Therefore, (1,7) is the point on the line.

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