math
posted by mimi on .
Find the standard form of the equation of the line that is perpendicular to 6x+5y=6 and contains (8, 6)

By the way, thanks so much to anyone that can help me! (I forgot to add that before!)

The slope of the line
6x+5y=6
can be seen by rewriting it as
y = (6/5)x  6/5
That slope is 6/5. A perpendicular line will therefore have slope 5/6.
Such a line passing through (8, 6) would have the equation
y +6 = (5/6) (x8)
y = 6 (5/6)x + 40/6
y = (5/6)x + (2/3)