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?
1. y = mx + b
2. y – b = mx
3. y/x = m + b
4. y/x – b/x = m
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?
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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.