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Which of the following ...

Which of the following ...-example-1
User Fush
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'parallel to the x-axis'. Parallel lines have the same slope. The x-axis is a horizontal line, and we know that horizontal lines have slopes of 0. Therefore this line must also have a slope of 0. We can plug this and the point into point-slope form to find the equation of the line.


\sf y-y_1=m(x-x_1)

Where 'm' is the slope and (x1, y1) is a point on the line. Plug in what we know:


\sf y-2=0(x-1)

Distribute 0 in the parenthesis, we know that 0 times anything is 0, so the right side of our equation will be equal to 0:


\sf y-2=0

Add 2 to both sides:


\boxed{\sf y=2}
User Yongwei Wu
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