SOLUTION: find an equasion for the line that satisfies the given condition: (-2,4) parallel to the line that contains (1,2) and (3,8) *Show work

Algebra ->  Linear-equations -> SOLUTION: find an equasion for the line that satisfies the given condition: (-2,4) parallel to the line that contains (1,2) and (3,8) *Show work       Log On


   



Question 359113: find an equasion for the line that satisfies the given condition:
(-2,4) parallel to the line that contains (1,2) and (3,8)
*Show work

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I just did this one for you, but here it is again in case you missed it.

You can't do exactly what you ask. You asked for the equation for a line, but since there are an infinite number of equivalent representations of any given line in equation form, the best you can do is write an equation of the line that fits the given criteria. Equation is spelled with a "t" not an "s"

Use the slope formula to calculate the slope of the line that contains and .



where and are the coordinates of the given points.

Since



Which is to say parallel lines have identical slopes, by calculating the slope of the line through and , you now know the slope of the desired line.

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



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

John

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