Wednesday, March 21, 2018

Precalculus, Chapter 1, Review Exercises, Section Review Exercises, Problem 34

Determine the equation of the line parallel to the line x+y=2 and containing the point (1,3). Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer.


Since two lines are parallel, their slopes must be equal. Using the equation x+y=2 to find the slope. We write the equation in slope intercept form, we have


x+y=2y=x+2


The slope is 1. Now (1,3) is a point on the line. Using point slope form,


yy1=m(xx1)y(3)=1(x1)Substitute m=1,x=1 and y=3y+3=x+1Simplifyy=x2Slope Intercept Formx+y=2General Form

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