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Chapter 1: Q. 9 (page 40)

The lines y=2x-1and y=ax+2are perpendicular ifa=____.

Short Answer

Expert verified

The lines y=2x-1and y=ax+2are perpendicular ifa=-12.

Step by step solution

01

Step 1. Given information.

We have two equation:

y=2x-1y=ax+2

02

Step 2. Fill the blank. 

Two non-vertical lines are perpendicular if and only if the product of their slopes is -1.

Comparing the two equation with slope intercept form y=mx+b, we get:

m1=2m2=a

Since two lines are perpendicular, we get:

m1脳m2=-12脳a=-1a=-12

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Most popular questions from this chapter

Which of the following equations might have the graph shown? (More than one answer is possible.)

(a)2x+3y=6(b)2x-3y=6(c)3x+4y=12(d)x-y=1(e)x-y=-1(f)y=-2x-1(g)y=-12x+10(h)y=x+4

If -3and 5 are the coordinates of two points on the real number line, the distance between these points is _________.

Solve the equation 2x+3=4(x-1)+1

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

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

1x+1-5x-4=214
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