Which of the following is the equation of a line with a slope of 0 and passing through the point (4,6)?
A. x = 4
B. x = - 4
C. y = 6
D. y = -6
You know a point and the slope. The point-slope method of writing the equation of a line can be used. The equation is y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line. Substitution gives: y-6=0(x-4). This yields: y-6=0. And finally we get: y=6.
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