Question

−4x−6=−5y+2
its about obtaining a function in khan academy

Answer 1

To obtain a function from the equation −4x−6=−5y+2, first add 6 to both sides, then divide everything by −5 to isolate and solve for y, resulting in the function y = (−4/5)x − (8/5).

Step-by-step explanation:

To solve the equation −4x−6=−5y+2 for y in terms of x, we want to isolate y on one side of the equation. Here is a step-by-step explanation:

1. Add 6 to both sides of the equation to get −4x = −5y + 8.
2. Next, divide both sides by −5 to get y by itself. This gives us y = (−4/5)x − (8/5).
3. Now, y is expressed as a function of x, which can also be written as f(x) = (−4/5)x − (8/5).

This function can now be graphed, and it represents a straight line with a slope of −4/5 and a y-intercept at −8/5.