Question

For a given input value x, the function f outputs a value y to satisfy the following equation.
-5x– 4y = -8
Write a formula for f(x) in terms of x
f(x)=?

Answer 1

Answer:

$f(x) =- \frac{5}{4}x + 2$

Step-by-step explanation:

The given equation is

$- 5x - 4y = - 8$

Multiply through by -1 to get:

$5x + 4y = 8$

We can solve for y by Subtracting 5x from both sides.

$4y = - 5x + 8$

Divide through by 4

$y = - \frac{5}{4}x + 2$

The formula for f(x) is

$f(x) =- \frac{5}{4}x + 2$