what is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?

Question

ash2326 · Answer

let's find the solution of the given line
2x+3y=6
3y=-2x+6
y=-2/3x+2
slope of this line =-2/3
line parallel to it will also have slope =-2/3
let that line be
y=-2/3x+c
it passes through -2,3
so this satisfy the equation
3=+2/3*2+c
3-4/3=c
5/3=c
so equation is 
y=-2/3x+5/3
3y+2x=5

anonymous · Answer

The equation of a line is y=1/4x-2. What is the equation of the line that is parallel to the first line and passes through (4,-2)?

mertsj · Answer

The slope of y = 1/4x -2 is 1/4  the parallel line has the same slope.  So write the equation of a line whose slope is 1/4 and contains (4,-2)