Find the Equation Using Slope-Intercept Form m=-1/2 , b=1/4

$m = - \frac{1}{2}$ , $b = \frac{1}{4}$

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.

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

Step 3

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

$y = (- \frac{1}{2}) \cdot x + \frac{1}{4}$

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

$y = (- \frac{1}{2}) \cdot x + \frac{1}{4}$

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

$y = - \frac{1}{2} x + \frac{1}{4}$

Remove parentheses.

$y = (- \frac{1}{2}) \cdot x + \frac{1}{4}$

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

$y = - \frac{x}{2} + \frac{1}{4}$

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

$y = - \frac{1}{2} x + \frac{1}{4}$

Step 5