SOLUTION: find the standard equation of the line which passes through (1,-3) and is perpendicular to the line defined by 2y=3x-1
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Question 1045941: find the standard equation of the line which passes through (1,-3) and is perpendicular to the line defined by 2y=3x-1 Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! 2y=3x-1
finding the Slope
the standard slope-intercept form for an equation of a line is
where m is the slope and b the y-intercept.
2y=3x-1
Solving for y
y =-(3/2)x +1/2 Green Line
m = -3/2
Slope of Line perpendicular is 2/3 (negative reciprocal)
***Using point-slope form,
y +3 = (2/3)( x - 1) Pt (1,-3) on this perpendicular line
y = (2/3)x -2/3 - 9/3
y = (2/3)x - 11/3 Blue Line
