Find the equation for the line that passes through the point (1,−2), and that is parallel to the line with the equation y=−1/2x−3.

Question

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Answer 1

Since the lines are parallel, their slopes are the same.

So, the equation has the form y = (-1/2)x + b, for some number b.

Since (1,-2) is on the line, -2 = (-1/2)(1) + b. So, b = -3/2.

Equation of line: y = (-1/2)x - 3/2