Chapter 4: Q. 352 (page 522)

In the following exercises, use slopes and $y$ -intercepts to determine if the lines are parallel.
$x = 5; x = - 6$

Short Answer

Expert verified

The lines are parallel.

Step by step solution

Given information

The given equations are shown below:

$x = 5 x = - 6$

Determine the slope.

The slope of a vertical line is undefined.

With a vertical line, this results in a bottom denominator of 0. However, dividing by 0 is something that doesn’t exist in math. Even though the difference in y-coordinate may change, dividing any number by the change in x-coordinate, 0, will result in an undefined slope.

Both the equation forms vertical line.

Hence, $m_{1} = m_{2} = Undefined$

Write the conclusion

The lines are parallel.

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In the following exercises, use slopes and $y$ -intercepts to determine if the lines are parallel.
$x = 5; x = - 6$

Short Answer

Step by step solution

Given information

Determine the slope.

Write the conclusion

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In the following exercises, use slopes and y-intercepts to determine if the lines are parallel.x=5;x=-6

Short Answer

Step by step solution

Given information

Determine the slope.

Write the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Pure Maths

Probability and Statistics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, use slopes and $y$ -intercepts to determine if the lines are parallel.
$x = 5; x = - 6$