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Chapter 1: Q. 104 (page 42)

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither.y=12x-3,y=-2x+4

Short Answer

Expert verified

The given lines are perpendicular.

Step by step solution

01

Step 1. Given information 

Equations of two lines:y=12x-3,y=-2x+4

02

Step 2. Determining if the lines are parallel, perpendicular, or neither. 

For the lines to be parallel, slopes should be equal and for the lines to be perpendicular, product of slopes is -1.

Slope-intercept form of the line is y=mx+b

For the given lines, product of slopes is -1,m1脳m2=12脳-2=-1.

Therefore, the given lines are perpendicular.

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Most popular questions from this chapter

Find the distance d(P1,P2)between the points P1andP2.

P1=(-4,-3);P2=(6,2)

The coordinate axes divide the xy-plane into four sections called _________.

The equation 2x-y=Cdefines a family of lines, one line for each value of C. On one set of coordinate axes, graph the members of the family when C=-4,C=0and C=2. Can you draw a conclusion from the graph about each member of the family?

Solve:

x2-4x-12=0

Graph the line containing the point P and having slope m.

P(2,4),m=-34
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