What is the equation of the line which passes through the point of intersection of the lines y=x and x+y=6 and which is perpendicular to the line with equation 3x+6y=12?
1 Answer
The line is
Explanation:
First, find the intersection point of
and since
The lines' intersection point is
Now we need to find a line that goes through the point
To find the slope of the line
So the slope is
We can now use point-slope form to make an equation for our line from the point and slope that we found before:
The line is