Hey guys,

could somebody please check if the following is right?

Task: Write the linear equation 4x -9y = -45 in functional notation, and determine the x-and y-intercepts. Show your work using functional notation.

My work:

4x -9y = -45 is

-9y = -4x -45 is

y = -4/-9 x +5 is

f(x) = -4/-9 x +5

The x-intercept is where y=0

0 = -4/-9 x +5

-5 = -4/-9 x

x = -11.25

The y-intercept is where x=0

f(0) = -4/-9 (0) +5

f(0) = 0 +5

f(0) = 5

Is my whole work right or is there any mistake? Thank you.