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