How do you write an equation that contains points (5, -3) and is perpendicular to y=5x?
We know that this point goes through a point, but in order to define a line we need either two points or a point and a slope.
We can get that slope from the above equation. We know that the new line will have slope perpendicular to five. Perpendicularity means negative inverse, i.e.
From that, we know point-slope form: