Find The Equation of the Line parallel to Another Line

A step by step worksheet solver to find the equation of a line parallel to another line and through a given point. As many practice questions as needed may be generated along with their solutions. Solve each step below then click on "Show me" to check your answer. The graph of the two lines and the given point are shown below.




Step by step solution



STEP 1: - Solve for $y$ the equation given above and write it in slope intercept form: $y = mx + b$.





STEP 2: - Identify the slope $m_1$ of the line in step 1.






STEP 3: - Find the slope $m_2$ of the line parallel to the given line (parallel lines have equal slopes).





STEP 4: - Write the equation of the line in point slope form.





STEP 5: - Write the equation of the line in step 4 in slope intercept form.





Graphical Meaning of Solution



Below are the graphs of the given line (blue), the point (red) and the line found (green).


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