SOLUTION: Find the equation of the line in slope intercept form parallel to -6x-3y=-4 and goes through the point (-3,2)

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line in slope intercept form parallel to -6x-3y=-4 and goes through the point (-3,2)      Log On


   

Question 1114971: Find the equation of the line in slope intercept form parallel to -6x-3y=-4 and goes through the point (-3,2)
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-6x-3y=-4
-3y=6x-4
y=-2x%2B4%2F3
-
for parallel, slope stays the same.
y=-2x%2Bb
b=2x%2By
point wanted, (-3,2)
b=2%28-3%29%2B2
b=-4
-
highlight%28y=-2x-4%29



----------read original equation incorrectly-----------
6x-3y=4
3y=-6x%2B4
y=-2x%2B4%2F3


PARALLEL, use same slope.

Your y-intercept found later, if you want.
y=-2x%2Bb
b=y%2B2x
b=2%2B2%28-3%29
b=2-6
b=-4
-
cross%28y=2x-4%29

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The other tutor misread the original equation, so his answer is not right.

Any line parallel to the given line with equation -6x-3y+=+-4 will have an equation of the form -6x-3y+=+c for some constant c.

To find the constant c, use the fact that the given point must satisfy the equation:
-6%28-3%29-3%282%29+=+18-6+=+12

An equation of the line you are looking for is
-6x-3y+=+12

Solve that equation for y to get slope-intercept form.