SOLUTION: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. (4,5);x+6y=7 The equation for the line i

Algebra ->  Equations -> SOLUTION: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. (4,5);x+6y=7 The equation for the line i      Log On


   

Question 1091764: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form
y=mx+b.

(4,5);x+6y=7
The equation for the line is ?
Found 3 solutions by josgarithmetic, MathLover1, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel, means same slope as the given line, meaning the x & y combined variable expression stays the same.

x%2B6y=4%2B6%2A5
Simplify this and solve for y.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

y=mx%2Bb

the line containing the given point (4,5)
and parallel to the line x%2B6y=7
recall, parallel lines have same slope m; so, first find a slope of given line
x%2B6y=7
6y=-x%2B7
y=highlight%28-%281%2F6%29%29x%2B7%2F6=>slope m=-%281%2F6%29
so far, your line is y=-%281%2F6%29x%2Bb
y=-%281%2F6%29x%2Bb.... plug in coordinates of given point (4,5), and find b
5=-%281%2F6%29%284%29%2Bb
5=-%284%2F6%29%2Bb
5%2B%284%2F6%29=b
30%2F6%2B4%2F6=b
b=34%2F6
b=17%2F3
your line is y=-%281%2F6%29x%2B17%2F3






Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!

Every line parallel to the line
x%2B6y+=+7
will have an equation of the form
x%2B6y+=+N
where N can be any number.

If you are given the coordinates of a point on the line, then those coordinates must satisfy the equation of the line. So substitute the given x and y coordinates to find the value of N for your particular example.

4%2B6%285%29+=+N

So your N is 34, and an equation for the line in your example is
x%2B6y=34