Select the correct answer. find the slope and the y-intercept of the equation 4x + 5y = -9. a. slope = `4/5` and y-intercept = `-(9)/(5)` b. slope = `-(4)/(5)` and y-intercept = `(9)/(5)` c. slope = `-(4)/(5)` and y-intercept = `-(9)/(5)` d. slope = `(4)/(5)` and y-intercept = `9/5`

Answer

C. slope = `-(4)/(5)` and y-intercept = `-(9)/(5)`  

Step by step explanation

The given equation is 4x + 5y = -9

Now we have to convert the given equation in the form y = mx + b, where

"m" is the slope and "b" is y-intercept.

4x + 5y = -9

Subtract 4x from both sides, we get

5 y = -4x - 9

Dividing both sides, we get

y = -4/5 x  - 9/5

Now let's compare the equation y = -4/5 x - 9/5 with the general form y = mx +b and find the value of m and b.

Slope (m) = -4/5 and y-intercept (b) =  -9/5

The answer is C. slope = `-(4)/(5)` and y-intercept = `-(9)/(5)`  

Thank you. :)

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