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 .

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step-by-step explanation:

i hope this : )

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.