a hiking path is represented by the equation y=3/8x on a coordinate map. The county would like to create a parallel path for bikers. If the new path goes through the point (16,7), whats the equation of the bike path?

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 .

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: