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Write the equation of a line in standard form that has x-intercept (−P, 0) and y-intercept (0, R).

User Shawntia
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Final answer:

The equation of a line in standard form with given x-intercept and y-intercept is -AP + BR = C.

Step-by-step explanation:

The equation of a line in standard form is given by Ax + By = C, where A, B, and C are constants.

To find the equation of a line with x-intercept (-P, 0) and y-intercept (0, R), we can plug in the given points into the standard form equation.

We know that the x-intercept is (-P, 0), so we can substitute -P for x and 0 for y in the equation: A(-P) + B(0) = C. Simplifying this equation gives us -AP = C.

Similarly, substituting 0 for x and R for y gives us A(0) + BR = C.

Simplifying this equation gives us BR = C.

Therefore, the equation of the line is -AP + BR = C, which is the standard form of the equation.

User Sebastian Serrano
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