SOLUTION: the segment joining (4 0) and (3 -2) is extended each way a distance equal to three times its own length. find the terminal points. illustration pls.

Question 1047767: the segment joining (4 0) and (3 -2) is extended each way a distance equal to three times its own length. find the terminal points. illustration pls.
Answer by josgarithmetic(39627) (Show Source): You can put this solution on YOUR website!

---------Equation for the line containing the two given points.

-----------Length of the segment joining the two given points.

Other points on the line would take a form, (x, 2x-8).

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...extended each way a distance equal to three times its own length. find the terminal points.

A view of the line:

Again use the Distance Formula, separately handling the extension of described distance from each of the given points. Wanted is a distance of from a given point TOWARD AND PAST the other given point.

FROM (4,0) DOWNWARD

Solve for x and evaluate the corresponding y using y=2x-8.
Decide which of the two possible points is correct for the situation.

FROM (3,-2) UPWARD

Solve for x and evaluate the corresponding y using y=2x-8.
Decide which of the two possible points is correct for the situation.

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Read the plan, and think, and when you understand it, do the steps and finish.
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