SOLUTION: HOw is this solved? Write the slope form of the line that passes through the point A(-5,9) AND is perpendicular to the line with equation 2y-3x+5=0

Question 736809: HOw is this solved?
Write the slope form of the line that passes through the point A(-5,9) AND is perpendicular to the line with equation 2y-3x+5=0
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
You ask, "HOW...?"
Good!

Here is how:
A line perpendicular to 2y-3x+5=0 will have a slope equal negative reciprocal of the slope of .

2y-3x+5=0

Slope of the given line is . The line perpendicular to the given line has a slope of .

The line we want has slope and contains the point A(-5, 9). Let's use slope-intercept form to find the y-intercept*.

substitute the coordinate values for A,

Solution equation to question is OR .

* You can choose point-slope form instead and do appropriate arithmetic steps. Also, you could use or put your equation into or use from standard form if you wished.
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