What is the equation of the line perpendicular to #y =3x- 7# that contains (6, 8)?
Because the line given in the problem is in the slope intercept form we know the slope of this line is
The slope-intercept form of a linear equation is:
This is a weighted average problem.
Two perpendicular lines have a negative inverse slope of each other.
The line perpendicular to a line with slope
Therefore, the line we are looking for has a slope of
We can now use the point-slope formula to find the equation of the line we are looking for.
The point-slope formula states:
We can substitute the slope we calculate and the point we were given to give the equation we are looking for:
If we want to put this in slope-intercept form we can solve for