Which equation passes through the point (2,4) and is parallel to the line x-2y=6

1 answer:

7 0

A line parallel to x-2y=6 has which slope? Solving for y, -2y = 6 - x, and
m = -1 / -2, or 1/2.

Then the slope-intercept formula, y = mx + b, becomes 4 = (1/2)(2) + b, and b is 3. Thus, the equation of this line is y = (1/2)x + 3.

Check: does the point (2,4) satisfy this equation? Is 4 = (1/2)(2) + 3 true? YES.

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