Question 1127111
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 = {{{-5/6}}}x + {{{11/6}}}
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) = {{{-5/6}}}(x - (-6))
y + 9 = {{{-5/6}}}(x + 6)

y + 9 = {{{-5/6}}}x - 5
y = {{{-5/6}}}x - 5 - 9
y = {{{-5/6}}}x - 14, the slope/intercept form
"the equation using function notation."
f(x) = {{{-5/6}}}x - 14