Question

What is an equation of the line that passes through the points (6,2) and (-6, -8)?

Put your answer in fully reduced form.

Answer 1

Explanation:

Hey, there!!

Let me simply clear you.

The given points are (6,2) and (-6,-8).

Remember if you are finding the equation of the line passing through point, you will get equation in slope intercept form.

• If there is two point you simply use one point formula. {i.e (y-y1)= m(x-x1)} (as the slope will be given too).
• If you are finding the equation for two points then use double point formula for the equation. { i.e (y-y1) = (y2-y1/x2-x1) × (x-x1)}.

As in your question there are two points we must use double point formula,

`(y - y1) = (y2 - y1)/(x2 - x1) (x - x1)`

`( y - 2) = ( - 8 - 2)/( - 6 - 6) (x - 6)`

Simplifying them we get,

6(y-2)= 5(x-6)

6y - 12 = 5x -30

Therefore, 5x - 6y - 18 = 0 is the required equation.

Hope it helps.....