Danielle stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 22 nights. She
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Answer:
The equation of the bike path on a coordinate map is represented by .
Step-by-step explanation:
From Analytical Geometry, we know that resultant parallel line is a translated version of parent line. Two lines are parallel to each other when they share the same slope. The resultant line can be construted from slope-point form:
Where:
,
- Components of known point, dimensionless.
- Slope of the parallel line, dimensionless.
In addition, a line has also this form:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
Given that parent function is , the slope of the resulting line is
. Now, if
and
, we obtain the equation of the line:
The equation of the bike path on a coordinate map is represented by .