Question

The equation y=my+b is the slope- intercept form of a linear equation solve y=mc+b for m

Answer 1

We need to leave m alone on the right hand side, so let's move everything else to the left hand side.

First of all, we can subtract b from both sides to get

$y-b = mc$

Now, we can divide both sides by c to get

$\dfrac{y-b}{c}=m$

And so we solved the expression for m, because we have written an expression in the form $m=\ldots$, where the right hand side doesn't depend on m.