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URL:https://www.learndesk.us/class/5101195209211904/lesson/05af0bfb6e470a396976b5307d199902?ref=outlook-calendar
SUMMARY:Equation of Parallel Lines 1
DTSTART;TZID=America/Los_Angeles:20260407T190000
DTEND;TZID=America/Los_Angeles:20260407T200000
LOCATION:https://www.learndesk.us/class/5101195209211904/lesson/05af0bfb6e470a396976b5307d199902?ref=outlook-calendar
DESCRIPTION: 
Now that we know the relationship between parallel lines let's look at some questions involving parallel lines.




Example 1
Determine the equation of the line that is parallel to the line  and passes through the point .
Solution
Step 1: Determine the gradient of the new line.
Since the required line is parallel to the line  the two lines have the same gradient i.e. .
(Recall when the equation of a line is written in slope intercept form the coefficient of  is the gradient of the line.)
Step 2: Substitute the needed values into the general form of the equation of the line.
, ,  and .

Step 3: Determine the value of .


Step 4: Write the equation of the line with the substituted values for  and .








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