Algebra Examples

$y = 5 x + 4$

Choose a point that the parallel line will pass through.

$(0, 0)$

Use the slope-intercept form to find the slope.

Tap for more steps...

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Using the slope-intercept form, the slope is $5$ .

$m = 5$

To find an equation that is parallel to $y = 5 x + 4$ , the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

$(0, 0)$

$m = 5$

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

Tap for more steps...

Use the formula for the equation of a line to find $b$ .

$y = m x + b$

Substitute the value of $m$ into the equation.

$y = (5) \cdot x + b$

Substitute the value of $x$ into the equation.

$y = (5) \cdot (0) + b$

Substitute the value of $y$ into the equation.

$(0) = (5) \cdot (0) + b$

Find the value of $b$ .

Tap for more steps...

Rewrite the equation as $(5) \cdot (0) + b = 0$ .

$(5) \cdot (0) + b = 0$

Simplify the left side.

Tap for more steps...

Simplify each term.

Tap for more steps...

Multiply $5$ by $0$ .

$(5) (0) + b = 0$

Multiply $5$ by $0$ .

$0 + b = 0$

Add $0$ and $b$ .

$b = 0$

Now that the values of $m$ (slope) and $b$ (y-intercept) are known, substitute them into $y = m x + b$ to find the equation of the line.

$y = 5 x$

Enter YOUR Problem