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Question 829747: Write the equation of a line that passes through the point (1,-3) and is parallel to the line 7x + y = -5.
Answer by josgarithmetic(39614)   (Show Source):
You can put this solution on YOUR website! 7x+y=-5 as given,
y=-7x-5 in slope-intercept form.
The slope of the given line is -7.
Any line parallel to the given line also has slope of -7.
What is b, for y=-7x+b, if this line contains (1,-3)?
b=y-(-7x)
b=y+7x
Substitute the point coordinates,
b=-3+7*1
b=4
Finishing the equation, the line passing through (1,-3) having slope -7 is 
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One of the most common types of questions, worth a lesson. I have not made one yet, since all good algebra books have good instruction on this kind of problem
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