Question

(a) Solve for x.
(b) Solve for M.
y=Mx + b

Answer 1

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

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

Explanation:

We are given the equation:

y = mx + b

Part A:

`y=mx+b\\\\mx+b=y\\\\mx+b-b=y-b\\\\mx=y-b\\\\(mx=y-b)/(m)\\\\\boxed {x=(y)/(m)-(b)/(m)}`

Part B:

`y=mx+b\\\\mx+b=y\\\\mx+b-b=y-b\\\\mx=y-b\\\\(mx=y-b)/(x)\\\\\boxed{m=(y)/(x)-(b)/(x)}`

Hope this helps!