SOLUTION: Find an equation of the line containing (-5,-1) and parallel to x+5y=5.

Question 334622: Find an equation of the line containing (-5,-1) and parallel to x+5y=5.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Step 1: Put your given equation into slope-intercept form,

.

Step 2: Determine the slope of the line represented by the given equation by inspection of the coefficient on

in the result of step 1.

Step 3: Recognize that parallel lines have identical slopes.

Step 4: Use the point-slope form of an equation of a line:

where

are the coordinates of the given point and

is the slope determined in Steps 2 and 3.

Strictly speaking according to the way you posed your question, you are done after step 4. However, you may have an unstated requirement to put your answer into either slope-intercept,

, form or into standard,

, form. If so, step 5 is to manipulate the result of step 4 appropriately.

John

My calculator said it, I believe it, that settles it

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