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.Com
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)   (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)   (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:






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

Find an equation of the line that passes through the point (−2, 2) and is... (answered by josgarithmetic)
Find an equation of the line that passes through the point (2, 3) and is perpendicular to (answered by mananth)
Write an equation of the line that passes through (18, 2)(18, 2) and is parallel to the... (answered by Alan3354)
Find the equation for the line that passes through the point (−3, −1)and that (answered by stanbon)
Find an equation of the line that passes through the point (5, 4) and is perpendicular to (answered by scott8148)
Write the equation in slope-intercept form of the line parallel​ to 7x − 5y... (answered by josgarithmetic)
Find the equation of the line in slope-intercept form that passes through the point... (answered by solver91311)
P(3, 2), 2x − y = 5 Write the equation of the line that passes through the given... (answered by lwsshak3)