A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

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The equation of the line in point-slope form is .

Step-by-step explanation:

According to the statement, let and . The equation of the line in point-slope form is defined by the following formula:

(1)

Where:

, - Coordinates of the point A, dimensionless.

- Slope, dimensionless.

- Independent variable, dimensionless.

- Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

(2)

If we know that and , then the equation of the line in point-slope form is:

From (2):

By (1):

The equation of the line in point-slope form is .

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step-by-step explanation:

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