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Chapter 4: Q. 4.104 (page 514)

Use slopes and y-intercepts to determine if the lines y=1and y=鈭�5 are parallel.

Short Answer

Expert verified

The lines have the same slope and different y-intercepts and so they are parallel.

Step by step solution

01

Step 1. Given information.

The given equations are:
y=1y=-5

02

Step 2. Determine the slopes and y-intercepts.

The given equations can be written as:

y=0x+1y=0x-5

Compare these equations with y=mx+b.

For the first equation, the slope is m=0and b=1. It means the y-intercept is (0,1).

For the second equation, the slope is m=0and b=-5. It means the y-intercept is (0,-5).

03

Step 3. Conclusion.

The lines have the same slope and different y-intercepts and so they are parallel.

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Most popular questions from this chapter

In the following exercises, complete the table to find solutions to each linear equation.

Plot each point: 鈸� (4, 0) 鈸� (鈭�2, 0) 鈸� (0, 0) 鈸� (0, 2) 鈸� (0, 鈭�3) .

In the following exercises, complete the table to find solutions to each linear equation.

In the following exercises, which ordered pairs are solutions to the given equations :

y=12x-1

(a) 2,0(b)-6,-4(c)-4,-1

In the following exercises, which order pair are solution to the given equation

x+3y=9

(a)(0,3)(b)(6,1)(c)(-3,-3)
See all solutions

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