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. ​(Type an equation. Type your answer in&#8

Algebra ->  Linear-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. ​(Type an equation. Type your answer in&#8      Log On


   

Question 1065254: 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.
​(Type an equation. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the equation. Simplify your​ answer.)
(7,9);x+8y=9
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of the given line
+x+%2B+8y+=+9+
+8y+=+-x+%2B+9+
+y+=+%28-1%2F8%29%2Ax+%2B+9%2F8+
Any line parallel to this line will have
slope = +-1%2F8+
-----------------------------------
( 7,9 }
+m+=+-1%2F8+
+y+=+m%2Ax+%2B+b+
+9+=+m%2A7+%2B+b+
+9+=+%28-1%2F8%29%2A7+%2B+b+
+72+=+-7+%2B+8b+
+8b+=+79+
+b+=+79%2F8+
------------------
The equation is:
+y+=+%28-1%2F8%29%2Ax+%2B+79%2F8+
------------------------
check:
does the line go through ( 7,9 )?
+9+=+%28-1%2F8%29%2A7+%2B+79%2F8+
+72+=+-7+%2B+79+
+72+=+72+
OK