SOLUTION: Write an equation of the line containing the given point and parallel to the given line. (4,-1); 8x-9y=5

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line containing the given point and parallel to the given line. (4,-1); 8x-9y=5      Log On


   

Question 313991: Write an equation of the line containing the given point and parallel to the given line. (4,-1); 8x-9y=5
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(4,-1);
8x-9y=5
-9y=-8x+5
y=-8x/-9+5/-9
y=8x/9-5/9 This line has a slope=8/9. (red line)
The parallel line will also have a slope=8/9.
-1=8/9*5+b
-1=40/9+b
b=-1-40/9
b=-9/9-40/9
b=-49/9 the Y intercept.
y=8x/9-49/9 is the equation for the parallel line. (green line).
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+8x%2F9+-5%2F9%2C+8x%2F9+-49%2F9%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 8x/9 -5/9 and 8x/9 -49/9).