Question

The formula y = mx +b is the slope-intercept form of the equation of a line. Solve for x ?

Answer 1

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

Step-by-step explanation:

Given the slope-intercept form of the equation of a line;

`y=mx+b`

We want to solve for x, make x the subject of formula.

`\begin{gathered} y=mx+b \\ \text{subtract b from both sides.} \\ y-b=mx+b-b \\ y-b=mx \\ mx=y-b \\ \text{then let us divide both sides by m}; \\ (mx)/(m)=(y-b)/(m) \\ x=(y-b)/(m) \end{gathered}`

Therefore, making x the subject of formula, x is;

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