Problem 55
Question
If two lines are parallel, describe the relationship between their slopes.
Step-by-Step Solution
Verified Answer
The slopes of parallel lines are equal.
1Step 1: Property of Parallel lines
Parallel lines are lines in a plane that do not intersect or touch each other at any point. They are always the same distance apart.
2Step 2: Slope of a Line
The slope of a line is a measure of the direction and the steepness of a line. It is usually denoted by the letter 'm'.
3Step 3: Relation between Parallel Lines and Slopes
In the slope-intercept equation of a line, the slope is the same for parallel lines. This means if two lines are parallel, then their slopes are equal. For instance, if one line has a slope of 'm', then every other line parallel to this line would also have a slope of 'm'.
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