Algebra Examples

m = \frac{1}{4}

$m = \frac{1}{4}$ ,

b = - \frac{3}{4}

$b = - \frac{3}{4}$

Step 1

Find the value of

b

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

y = m x + b

$y = m x + b$

Step 2

Replace the known value of

m

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

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

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

Step 3

Replace the known value of

b

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

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

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

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}

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

Step 4.2

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

x

$x$ .

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

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

Step 4.3

Remove parentheses.

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

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

Step 4.4

Combine

\frac{1}{4}

$\frac{1}{4}$ and

x

$x$ .

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

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

Step 4.5

Rewrite the equation in

y = m x + b

$y = m x + b$ form.

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

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

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

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

Step 5