Find the Equation Using Slope-Intercept Form m=1/2 , b=0

$m = \frac{1}{2}$ , $b = 0$

Step 1

Find the value of $b$ using the formula for the equation of a line.

$y = m x + b$

Step 2

Replace the known value of $m$ in the slope y-intercept form of the equation.

$y = (\frac{1}{2}) x + b$

Step 3

Replace the known value of $b$ in the slope y-intercept form of the equation.

$y = (\frac{1}{2}) x + 0$

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

$y = (\frac{1}{2}) x + 0$

Multiply $\frac{1}{2}$ by $x$ .

$y = \frac{1}{2} x + 0$

Remove parentheses.

$y = (\frac{1}{2}) x + 0$

Simplify $(\frac{1}{2}) x + 0$ .

Add $(\frac{1}{2}) x$ and $0$ .

$y = (\frac{1}{2}) x$

Combine $\frac{1}{2}$ and $x$ .

$y = \frac{x}{2}$

Rewrite the equation in $y = m x + b$ form.

$y = \frac{1}{2} x$

Step 5