SOLUTION: Write an equation of the line that passes through the point (2,-3) and is perpendicular to the line given by the equation 3x=4y+5. Give both the point-slope form as well as the slo

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line that passes through the point (2,-3) and is perpendicular to the line given by the equation 3x=4y+5. Give both the point-slope form as well as the slo      Log On


   

Question 314784: Write an equation of the line that passes through the point (2,-3) and is perpendicular to the line given by the equation 3x=4y+5. Give both the point-slope form as well as the slope-intercept form of the answer
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3x=4y%2B5
4y=3x-5
y=+%283%2F4%29x-5%2F4
Perpendicular lines have slopes that are negative reciprocals.
m1%2Am2=-1
%283%2F4%29%2Am2=-1
m2=-4%2F3
Use the point-slope form of a line,
+y-yp=m%28x-xp%29
y-%28-3%29=-%284%2F3%29%28x-2%29
highlight_green%28+y%2B3=-%284%2F3%29%28x-2%29%29
Convert to slope-intercept form, y=mx%2Bb
y%2B3=-%284%2F3%29x%2B8%2F3
y=-%284%2F3%29x%2B8%2F3-9%2F3}
highlight_green%28+y=+-%284%2F3%29x-1%2F3+%29