SOLUTION: Find an equation of the line that passes through the point (5, 4) and is perpendicular to the line 2x + 3y − 6 = 0

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line that passes through the point (5, 4) and is perpendicular to the line 2x + 3y − 6 = 0      Log On


   



Question 559233: Find an equation of the line that passes through the point (5, 4) and is perpendicular to the line
2x + 3y − 6 = 0

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
for a perpendicular equation; swap the x and y coefficients and change one of the signs
___ this changes the slope to the negative reciprocal

to pass through a given point; substitute the coordinates into the equation and find the new constant term

3x - 2y + ? = 0 ___ substituting ___ 3(5) - 2(4) + ? = 0 ___ ? = -7

3x - 2y - 7 = 0