Robert J. answered • 12/02/12

Certified High School AP Calculus and Physics Teacher

A short cut:

2x+y = 2(-3) + 14 = 8

Answer: 2x+y = 8

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Attn: Ax+By = C is parallel to Ax+By = D, where C ≠ D.

Alexis C.

asked • 12/02/12It contains the point (-3,14) and is parallel to the line 2x+y=5

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Robert J. answered • 12/02/12

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Certified High School AP Calculus and Physics Teacher

A short cut:

2x+y = 2(-3) + 14 = 8

Answer: 2x+y = 8

-------

Attn: Ax+By = C is parallel to Ax+By = D, where C ≠ D.

First, convert the original equation to slope-intercept form:

2x + y = 5 becomes

y = -2x + 5

This is in the form y = mx + b, where m is the slope and b is the y-intercept.

Parallel lines have the same slope, which in this case is -2.

The equation you want will be the one with a slope of -2 for which y = 14 and x = -3.

Substitute those values in for y = mx + b:

14 = -2 (-3) + b

or 14 = 6 + b

or b = 8

Now complete the equation by substituting m = -2 and b = 8 :

**y = -2x + 8 ** **OR 2x + y = 8 ** is the equation you want.

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