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.