Question

PLEASE ANSWER + BRAINLIEST!!!

Given p ≠ q ≠ 0, what is the equation of the line that passes through the points (–p, –q) and (p, q)?

A. y = –x

B. y = q/px

C. y = q

D. y = 2x + (2p – q)

Answer 1

Answer:

B. y = q/px

Step-by-step explanation:

First we find the slope of the line between the two given points.  The formula for slope is

$m=\frac{y_2-y_1}{x_2-x_1}$

Using our points, we have

$m=\frac{q--q}{p--p}=\frac{q+q}{p+p}=\frac{2q}{2p}=\frac{q}{p}$

Now we substitute this and one of the points into point-slope form,

$y-y_1=m(x-x_1)\\\\y-q=\frac{q}{p}(x-p)\\\\y-q=\frac{q}{p}(x)-\frac{q}{p}(p)\\\\y-q=\frac{q}{p}(x)-\frac{qp}{p}\\\\y-q=\frac{q}{p}x-q\\\\y-q+q=\frac{q}{p}x-q+q\\\\y=\frac{q}{p}x$

Answer 2

Answer:

B. y = q/px

Step-by-step explanation:

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