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 .