How do you find the line that is perpendicular to #y=2/3x+1# and passes through (0, 5)?
Perpendicular lines have opposite reciprocal slope,
The given equation is a linear equation,
To find a line that is perpendicular to the given equation, use the opposite reciprocal slope and point and solve using the point-slope formula
And now you can see the slope is the opposite reciprocal of the original equation
If lines are perpendicular, one slope is the negative reciprocal of the other.
(Their product is -1)
So we have the slope of the line perpendicular to the one given.
This is also known as 'c'
The equation of a line is