which equation represents the line that contains the point (-3,14) and is parallel to the line 2x+y=5 explain

Question

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

Answer 1

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.

Answer 2

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.