Question

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

Answer 1

Answer:

$x=\frac{y-b}{m}$

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.

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

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

$x=\frac{y-b}{m}$