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

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) (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 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 8x/9 -5/9 and 8x/9 -49/9).
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