Find an equation of the line. Write the equation using function notation. Through (-5,- 9)​; parallel to 6 x plus 5 y =11 ​f(x)=

Answer 1

Lines that are parallel have the same slope.

What is the slope of the given line: 6x + 5y = 11?

Solve the equation for y by subtracting 6x and then dividing by 5: y = -6/5 x + 11/5.

the slope is -6/5. We now need to find the value of b.

Use y = mx + b. Substitute -6/5 for m. Also substitute -5 for x and -9 for y.

-9 = -6/5(-5) + b

-9 = 6 + b

subtract 6 from both sides: -15 = b

Use m and b to write the equation of the line.

f(x) = -6/5 x -15