SOLUTION: Find an equation to the line. Write the equation using function notation. Through (-6,-9); Parallel to 5x+6y=11 f(x)= ? Am completely clueless what to do.

Algebra ->  Linear-equations -> SOLUTION: Find an equation to the line. Write the equation using function notation. Through (-6,-9); Parallel to 5x+6y=11 f(x)= ? Am completely clueless what to do.      Log On


   

Question 1127111: Find an equation to the line. Write the equation using function notation.
Through (-6,-9); Parallel to 5x+6y=11
f(x)= ?
Am completely clueless what to do.
Found 2 solutions by josgarithmetic, ankor@dixie-net.com:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
For parallel, slope will be the same as for 5x+6y=11. In this form, the left side member will be the same.

For the expected point to be contained,
5x%2B6y=5%28-6%29%2B6%28-9%29
5x%2B6y=-30-54
highlight%285x%2B6y=-84%29
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If you want y as the function, f(x), the solve for y and simplify...

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation to the line.
Write the equation using function notation.
Through (-6,-9); Parallel to 5x+6y=11
:
Parallel lines have the same slope, find the slope of the given equation
5x + 6y = 11
6y = -5x + 11
y = -5%2F6x + 11%2F6
slope is -5/6
:
Find the equation using the point/slope form; y - y1 = m(x - x1)
m = -5/6
x1 = -6
y1 = -9
y - (-9) = -5%2F6(x - (-6))
y + 9 = -5%2F6(x + 6)
y + 9 = -5%2F6x - 5
y = -5%2F6x - 5 - 9
y = -5%2F6x - 14, the slope/intercept form
"the equation using function notation."
f(x) = -5%2F6x - 14