The given equation of the formula, y = mx + b, on solving for m by isolating it gives, <u>m = (y - b)/x</u>, making <u>option C</u> the right choice.
In the question, we are given the formula y = mx + b and are asked to solve the given formula for m.
To solve the equation for m, we need to isolate m to one side of the equation, and all other variables to the other side. This can be done as follows:
The given equation is:
y = mx + b.
Changing the sides of the equation gives us:
mx + b = y.
Subtracting b from both sides of the equation gives us:
mx + b - b = y - b,
or, mx = y - b {Simplifying}.
Dividing both sides of the equation by x gives us:
mx/x = (y - b)/x,
or, m = (y - b)/x {Simplifying}.
Thus, we have now isolated m to one side of the equation.
Thus, the given equation of the formula, y = mx + b, on solving for m by isolating it gives, <u>m = (y - b)/x</u>, making <u>option C</u> the right choice.
Learn more about isolating a variable at
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