SOLUTION: Using the point-slope formula to write an equation of the line given the following information: The line passes through the point (-4,3) and is perpendicular to 3x - 2y = 9
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Question 217356: Using the point-slope formula to write an equation of the line given the following information: The line passes through the point (-4,3) and is perpendicular to 3x - 2y = 9
Answer by elima4(15) (Show Source): You can put this solution on YOUR website!
Start by first putting this equation in slope-intercept form;
3x - 2y = 9
-2y=-3x+9
y = 3/2x + 9
Perpendicular lines have negative reciprocal slopes;
So the slope for the new equation is going to be -2/3, so lets start with;
y = -2/3x + b
Now lets us the point given for our x and y;
3 = -2/3(-4) + b
3 = 8/3 + b
3 - 8/3 = b
9/3 - 8/3 = b
1/3 = b
So the equation will be;
y= -2/3x + 1/3
:)
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