Question

What is the equation of the line that passes through the point (2,-6)and has a slope of −1?

Answer 1

Explanation:

Hey there!!

Just simply work with it.

We know that we have to use one point formula to find the equation of a st.line passing through point and slope is given.

So, just do accordingly.

The point is (2,-6) and slope is -1.

`(y - y1) = m(x - x1)`

Where, "m" is a slope.

Put all values.

`(y + 6) = - 1(x - 2)`

Simplify them to get answer.

`(y + 6) = - x + 2`

`y = - x - 4`

Therefore the equation is y= -x-4 OR can be written as x+y+4=0.

Hope it helps....