Question

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.

Answer 1

The equation of a line in standard form is rx + py = rp

Equation of a line

The standard equation of a line is expressed as y = mx + b

where:

• m is the slope
• b is the y-intercept

Given the coordinate points (p, 0) and (0, r)

Slope = r-0/0-p
Slope = -r/p

Since the y-intercept is r, hence the required equation will be:

y = -r/p x + r

py = -rx + rp

rx + py = rp

Hence the equation of a line in standard form is rx + py = rp

Learn more on equation of aline here: brainly.com/question/13763238