SOLUTION: Write an equation of the line that passes through point P and is parallel to the line with the given equation.
P(-3,6), y= -x-5
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Question 222096: Write an equation of the line that passes through point P and is parallel to the line with the given equation.
P(-3,6), y= -x-5
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
First use the fact that parallel lines have identical slopes, that is:
So, your first step is to solve the given equation for 
, putting the given equation into slope intercept form. The coefficient on 
will then be the slope of the given line. In this case, your line is already in slope intercept form, so you can determine the slope simply by inspection of the coefficient on
Next, use the point-slope form of the equation of a line to derive a form of the desired equation:
)
Where 
is the slope you calculated in the first step and )
are the coordinates of the given point. Typically, you will then have to put the equation into some other form, such as standard form (
) or slope-intercept form (
). In the case of this problem, the question doesn't specify a final form for the answer, so unless your teacher/instructor has given you additional instructions, you are technically done when you have made the substitutions into the point-slope form.
John
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