SOLUTION: Find an equation of the line that passes through the point (−2, 2) and is parallel to the line 7x − 8y − 3 = 0. (Let x be the independent variable and y b

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line that passes through the point (−2, 2) and is parallel to the line 7x − 8y − 3 = 0. (Let x be the independent variable and y b      Log On


   



Question 1131384: Find an equation of the line that passes through the point
(−2, 2)
and is parallel to the line
7x − 8y − 3 = 0.
(Let x be the independent variable and y be the dependent variable.)

Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
rewrite the second as 8y=7x-3 and therefore y=(7/8)x-(3/8)
parallel lines have the same slopes
Point slope formula y-y1=m(x-x1) m slope and (x1, y1) point
y-2=(7/8)(x+2)
y=(7/8)x+(30/8)

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Since the question does not ask for an equation in any particular form, there is no need to find the slope of the given line.

Any line parallel to the line with equation

7x-8y-3=0

will have an equation of the form

7x-8y+c=0

where c is a constant to be determined.

That constant can be determined knowing that the point (-2,2) satisfies the equation:

7%28-2%29-8%282%29%2Bc+=+0
-14-16%2Bc+=+0
-30%2Bc+=+0
c+=+30

An equation of the line through (-2,2) and parallel to 7x-8y-3=0 is

7x-8y%2B30+=+0