SOLUTION: What is the equation of the line that passes through the point (6, -5) and is parallel to the line whose equation is 2x - 3y = 11? 1. y + 5 = 3/2 (x-6) 2. y = 2/3x + 1 3. y

Algebra ->  Points-lines-and-rays -> SOLUTION: What is the equation of the line that passes through the point (6, -5) and is parallel to the line whose equation is 2x - 3y = 11? 1. y + 5 = 3/2 (x-6) 2. y = 2/3x + 1 3. y      Log On


   



Question 408018: What is the equation of the line that passes through the point (6, -5) and is parallel to the line whose equation is 2x - 3y = 11?
1. y + 5 = 3/2 (x-6)
2. y = 2/3x + 1
3. y = -3/2x + 4
4. y + 5 - 2/3(x-6)

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
I will walk you through with one.
(6, -5) and is parallel to the line whose equation is 2x - 3y = 11?

2x - 3y = 11
add 3y to both sides
2x=11+3y
-11
2x-11=3y
3y=2x-11
/3
y= (2/3)*x-11/3
slope m = 2/3
The parallel line will have the same slope as that of the given line.
so slope of the required line will be 2/3
..
line passes through (6,-5)
plug the value of slope , and the point (6,-5) to find b the y intercept
of the required line
y=mx+b
-5=2/3 *6+b
-5=4+b
b=-9
...
so the equation has slope 2/3 and y intercept -9
y=(2/3)x-9
...
CHECK
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cy=%282%2F3%29x-11%2F3%2Cy=%282%2F3%29x-9%29