Algebra Examples

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

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.

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Step 4.1

Remove parentheses.

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

Step 4.2

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

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

Step 4.3

Remove parentheses.

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

Step 4.4

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

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

Step 4.5

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

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

Step 5