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Chapter 3: Problem 55

If two lines are parallel, describe the relationship between their slopes.

Short Answer

Expert verified
The slopes of two parallel lines are always equal.

Step by step solution

01

Understand Parallel Lines

Parallel lines are lines in a plane that never meet; they are always the same distance apart.
02

Defining the Slope of a Line

The slope of a line in a plane containing two points, (x1, y1) and (x2, y2), is generally represented as the change in the y-coordinates divided by the change in the x-coordinates. Basically, slope = (y2 - y1) / (x2 - x1) .
03

Slope of Parallel Lines

If two lines are parallel, they have the same steepness, or gradient. To put it simply, they have the same slope. If line m is parallel to line n, and the slope of line m is a, then the slope of line n is also a. Thus, the correlation between the slopes of two parallel lines is that they are equal.

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Most popular questions from this chapter

Graph equation. \(12-3 x=0\)

Describe the graph of \(x=-100\).

$$\text { Simplify: } 3(1-2 \cdot 5)-(-28)$$

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How many points are needed to graph a line? How many should actually be used? Explain.
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