Subjects algebra

Line Standard Form A619Dd

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1. **Problem Statement:** Write the equation of a line in standard form that has x-intercept $(P,0)$ and y-intercept $(0,R)$. 2. **Recall the intercept form of a line:** The equation of a line with x-intercept $a$ and y-intercept $b$ can be written as $$\frac{x}{a} + \frac{y}{b} = 1$$ 3. **Substitute the intercepts:** Here, $a = P$ and $b = R$, so $$\frac{x}{P} + \frac{y}{R} = 1$$ 4. **Clear denominators:** Multiply both sides by $PR$ to eliminate fractions: $$PR \times \left(\frac{x}{P} + \frac{y}{R}\right) = PR \times 1$$ $$R x + P y = PR$$ 5. **Final equation in standard form:** $$Rx + Py = PR$$ 6. **Check the options:** The correct equation matches the option: **Rx + Py = PR** This is the standard form of the line with the given intercepts.