Question

Which is an equivalent equation solved for the slope, m?

a. m=yx+b
b. m= y-b
          ----
            x
c. m= y
          -- -b
          x
d. m= y- b
             ---
              x

Answer 1

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

Answer 2

The equivalent equation solved for the slope, m is:

`m=(y-b)/(x)`

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=(y-b)/(x)`