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Chapter 1: Q. 105 (page 42)

The equations of two lines are given. Determine if the lines are parallel, perpendicular, or neither.y=4x+5,y=-4x+2

Short Answer

Expert verified

The given lines are neither parallel nor perpendicular.

Step by step solution

01

Step 1. Given information 

Equations of two lines:y=4x+5,y=-4x+2

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, slopes are not equal and product of slopes is not localid="1646027332023" -1.m1=4,m2=-4.

Therefore, the given lines are neither parallel nor perpendicular.

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Most popular questions from this chapter

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(-3,-1);(2,-1)

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.
x3+2x2-9x-18=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.

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x3+x2-4x-4=0

Solve the equation2x2+5x+2=0.
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