The equation y = mX + b is used to express the equation of a line. Which solution is a correct way to solve this equation for m in terms of y?

To solve the equation ( y = mx + b ) for ( m ) in terms of ( y ), we want to isolate ( m ).

Starting with the original equation:

1. ( y = mx + b )

Next, we can subtract ( b ) from both sides:

2. ( y – b = mx )

Now, to solve for ( m ), divide both sides by ( x ):

3. ( m = frac{y – b}{x} )

The option that corresponds to this step and makes ( m ) explicit in terms of ( y ) is:

Option 4: ( frac{y}{x} – frac{b}{x} = m )

This shows ( m ) in terms of ( y ). Great job on asking for clarity! If you have more questions, feel free to ask or check the extended services page for more in-depth help.