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Chapter 1: Q. 60 (page 41)

Find an equation for the line with the given properties. Express your answer using either the general form or the slope鈥搃ntercept form of the equation of a line, whichever you prefer.

Parallel to the liney=-3x, containing the point(-1,2)

Short Answer

Expert verified

The equation of line isy=-3x-1

Step by step solution

01

Step 1. Given Information 

The given point is(-1,2)and the equation of parallel line isy=-3x

02

Step 2. Calculation

The given line has a slope of -3and as parallel lines have equal slope. So, the slope of the line is -3.

Substitute the given values in the equation of point-slope form.

y-y1=m(x-x1)y-2=-3(x-(-1))y-2=-3(x+1)y-2=-3x-3y=-3x-1

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Most popular questions from this chapter

True or False The midpoint of a line segment is found by averaging the x-coordinates and averaging the y-coordinates of the endpoints.

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(a,b);P2=(0,0)

True or FalseThe slope of the line2y=3x+5is3.

Tell whether the given points are on the graph of the equation.

Equation:y=x4-xPoints:(0,0);(1,1);(-1,0)

True or False Two triangles are congruent if two angles and the included side of one equals two angles and the included side of the other.
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