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

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


   

Question 314783: Write an equation of the line that passes through the point (2,-3) and is parallel 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
Parallel lines have equal slopes.
m1=m2=3%2F4
Use the point-slope form of a line,
+y-yp=m%28x-xp%29
y-%28-3%29=%283%2F4%29%28x-2%29
highlight_green%28+y%2B3=%283%2F4%29%28x-2%29%29
Convert to slope-intercept form, y=mx%2Bb
y%2B3=%283%2F4%29x-%283%2F2%29
y%2B3=%283%2F4%29x-%283%2F2%29-%286%2F2%29
highlight_green%28+y=+%283%2F4%29x-9%2F2+%29