Write the equation of a line in standard form that has x-intercept (-P, 0) and y-intercept (0, R). Rx - Py = -PR
Rx+ Py = PR
PX - Ry = -PR
PX - Ry=PR

Step-by-step explanation:

We can go about this by way of finding the slope and then writing the equation in point-slope form, then rewriting into standard. It's easy that way because you are using the simple formulas you have become comfortable with: slope formula, point-slope form of a line, slope-intercept form of a line. Those are all basic and you know those already (or you should, if you are at this point in linear algebra!).

Using the 2 coordinates given, (-P, 0) and (0, R), we will find the slope:

Using that slope in point-slope form. along with one of those coordinates (I chose the coordinate (-P, 0)):

and

and getting rid of the denominator by multiplying everything through by P:

Py = Rx + RP and then moving the x andd y terms on the same side of the equals sign:

-Rx + Py = RP. Apparently, the authors of this problem do not like to lead with a negative, so we multiply everything through by a -1 to get:

Rx - Py = -RP, which is the first choice listed in your options.

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