SOLUTION: Find an equation of the line that passes through a point (-1,3) and is parrallel to a line passing through points (-2,-3) and (2,5)

Algebra ->  Graphs -> SOLUTION: Find an equation of the line that passes through a point (-1,3) and is parrallel to a line passing through points (-2,-3) and (2,5)      Log On


   

Question 518415: Find an equation of the line that passes through a point (-1,3) and is parrallel to a line passing through points (-2,-3) and (2,5)
Answer by solver91311(24713) About Me  (Show Source):
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Step 1: Calculate the slope of the line through (-2,-3) and (2, 5). Use the slope formula.



where and are the coordinates of the given points.

Step 2: Using the slope calculated above, the fact that parallel lines have equal slopes, and the point-slope form of an equation of a line:



where are the coordinates of the given point and is the calculated slope.

Plug in the numbers and simplify. Check with your textbook or instructor as to the desired form of the equation you give as your answer, i.e. slope-intercept () or standard ()

John

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