Question

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

y = (9/5)x + 4

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