Determine the equation of the line that is parallel to the line y=−3x containing the point (−1,2). Express your answer using the general form or the slope intercept form of the equation of a line, which ever you prefer.
Since the two lines are parallel, the slope of the line that we
need, equals the slope of the line y=−3x. The equation is in
slope intercept form where in the slope is −3. So the other also
has slope −3 and contains the point (−1,2). By using Point
Slope Form to find the equation
y−y1=m(x−x1)Point Slope Formy−2=−3[x−(−1)]Substitute m=−3,x=−1 and y=2y=−3x−3+2Simplifyy=−3x−1Slope Intercept Formor3x+y=−1General Form
Sunday, March 9, 2014
Precalculus, Chapter 1, 1.3, Section 1.3, Problem 60
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