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texaschic101

y = mx + b....for m
subtract b from both sides
y - b = mx
divide both sides by x
(y - b)/x = m <==

Answer:

The  equivalent equation solved for the slope, m is:

                       \(m=\dfrac{y-b}{x}\)

Step-by-step explanation:

We know that the general equation of a line in slope-intercept form is given by the equation:

                \(y=mx+b\)

where m is the slope of the line and b is the y-intercept of the line.

Hence, we get:

       \(mx=y-b\)

( since on subtracting both side of equation (1) by b)

and now on dividing both side of the equation by x we get:

\(m=\dfrac{y-b}{x}\)

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