Finite Math Examples Linear Functions and Points

Find the Parallel Line

$y = 9 x - 6$ , $(1, 13)$

Step 1

Use the slope-intercept form to find the slope.

Tap for more steps...

Step 1.1

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

$y = m x + b$

Step 1.2

Using the slope-intercept form, the slope is $9$ .

$m = 9$

Step 2

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Step 3

Use the slope $9$ and a given point $(1, 13)$ to substitute for $x_{1}$ and $y_{1}$ in the point-slope form $y - y_{1} = m (x - x_{1})$ , which is derived from the slope equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (13) = 9 \cdot (x - (1))$

Step 4

Simplify the equation and keep it in point-slope form.

$y - 13 = 9 \cdot (x - 1)$

Step 5

Solve for $y$ .

Tap for more steps...

Step 5.1

Simplify $9 \cdot (x - 1)$ .

Tap for more steps...

Step 5.1.1

Rewrite.

$y - 13 = 0 + 0 + 9 \cdot (x - 1)$

Step 5.1.2

Simplify by adding zeros.

$y - 13 = 9 \cdot (x - 1)$

Step 5.1.3

Apply the distributive property.

$y - 13 = 9 x + 9 \cdot - 1$

Step 5.1.4

Multiply $9$ by $- 1$ .

$y - 13 = 9 x - 9$

Step 5.2

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 5.2.1

Add $13$ to both sides of the equation.

$y = 9 x - 9 + 13$

Step 5.2.2

Add $- 9$ and $13$ .

$y = 9 x + 4$

Step 6

Enter YOUR Problem

How to Use Step-by-Step Examples

Read the worked problem

Each example starts from a real Finite Math problem and shows the rule or formula it relies on.

Follow every step

Work through the solution line by line. Underlined terms open a glossary definition.

Solve your own problem

Enter a similar problem in the Finite Math solver to get the answer with steps.

Why use Mathway?

Step-by-step solutions

See how every answer is worked out, not just the result.

Every major math subject

From basic math through calculus, statistics and chemistry.

Accurate results

Answers you can check your homework against.

Trusted by students

A reliable tool for homework and learning.

Find the Parallel Line

Linear Functions and Points

How to Use Step-by-Step Examples

Why use Mathway?

Explore More Finite Math Help