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,
y−y1=m(x−x1)y−(−3)=−1(x−1)Substitute m=−1,x=1 and y=−3y+3=−x+1Simplifyy=−x−2Slope Intercept Formx+y=−2General Form
No comments:
Post a Comment