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

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


   

Question 710483: Write the equation of the line containing the given point and parallel to the given line
(8, -4) 5x-9y=4
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
write the equation in the slope-intercept form.
9y=5x-4 -> y=%285%2F9%29x-4%2F9
the slope of the line is 5%2F9 Parallel lines have the same slope.
The equation of the line through the point (8,-4)is:
y-%28-4%29=%285%2F9%29%28x-8%29 Simplify and get:
y%2B4=%285%2F9%29x-40%2F9Multiply both sides by 9:
9y%2B36=5x-40 Write the equation in standard form.
5x-9y-76=0