Write an equation of the line containing the given point and perpendicular to the given line.

Question

(0,4);5x+9y=4

The equation of the line is y=__?
(Simplify your answer. Use integers or fractions for any number in the expression)

Answer 1

The slope of the given line is -5/9
so the slope of the new line must be +9/5
and the new equation will look like
9x- 5y= c
plug in the given point (0,4)
0 - 20 = c

new equation:
9x - 5y = -20

Answer 2

or

y = (9/5)x + 4