Find the Equation Using Slope-Intercept Form m=1/4 , b=-3/4

$m = \frac{1}{4}$ , $b = - \frac{3}{4}$

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.

$y = (\frac{1}{4}) x + b$

Step 3

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

$y = (\frac{1}{4}) x - \frac{3}{4}$

Step 4

Simplify the slope y-intercept form of the equation.

Remove parentheses.

$y = (\frac{1}{4}) x - \frac{3}{4}$

Multiply $\frac{1}{4}$ by $x$ .

$y = \frac{1}{4} x - \frac{3}{4}$

Remove parentheses.

$y = (\frac{1}{4}) x - \frac{3}{4}$

Combine $\frac{1}{4}$ and $x$ .

$y = \frac{x}{4} - \frac{3}{4}$

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

$y = \frac{1}{4} x - \frac{3}{4}$

Step 5