Solve y=mx+b;y=9,x=10,b=4

$$y = m x + b ; y = 9 , x = 10 , b = 4$$

Solve for y, m, x, b

$$x=10$$

$$y=9$$

$$m=\frac{1}{2}=0.5$$

$$b=4$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$9=m\times 10+4$$

Swap sides so that all variable terms are on the left hand side.

$$m\times 10+4=9$$

Subtract 4 from both sides.

$$m\times 10=9-4$$

Subtract 4 from 9 to get 5.

$$m\times 10=5$$

Divide both sides by 10.

$$m=\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$m=\frac{1}{2}$$

The system is now solved.

$$y=9 m=\frac{1}{2} x=10 b=4$$