Question

Find the equation of a line that is parallel to the line -3x+2y=10 and goes through the point (0,7).

Answer 1

3x -2y = -14

Explanation:

The parallel line will have a new constant that can be found by substituting the given point for x and y.

-3x +2y = -3(0) +2(7) = 14

An equation for the parallel line is ...

-3x +2y = 14

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In standard form, the leading coefficient is positive, so the standard form equation is ...

3x -2y = -14