Step-by-step 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.
[tex](y - y1) = m(x - x1)[/tex]
Where, "m" is a slope.
Put all values.
[tex](y + 6) = - 1(x - 2)[/tex]
Simplify them to get answer.
[tex](y + 6) = - x + 2[/tex]
[tex]y = - x - 4[/tex]
Therefore the equation is y= -x-4 OR can be written as x+y+4=0.
Hope it helps....
