How do you write an equation of a line passing through (2, 3), perpendicular to #y = (3/2)x − 4#?
We find the line with negative reciprocal slope through the point, which is
When we multiply perpendicular slopes together we get
We can read off the slope of
We fit the constant to the line.
So the equation we seek is
I prefer not to deal with the slope if I can avoid it. I like first writing the line in standard form:
Then the perpendiculars are gotten by swapping the coefficients on