# How do you write an equation of a line given two points?

## How do you write an equation of a line given two points?

Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

### How do you write an equation in slope intercept form with two points?

Once you know m and b, you can write the equation of the line.

1. Step 1: Find the slope (m) The slope of the line through two points (x1,y1) and (x2,y2) can be found by using the formula below.
2. Step 2: Find the y-intercept (b)
3. Step 3: Write the equation in slope-intercept form (y = mx + b)
4. Step 4: Check Your Equation.

#### What is written in slope intercept form?

The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It’s usually easy to graph a line using y=mx+b.

What is a word sentence in math?

A mathematical sentence makes a statement about two expressions. The two expressions either use numbers, variables, or a combination of both. A mathematical sentence can also use symbols or words like equals, greater than, or less than.

What are the steps to solving word problems?

Problem-Solving Strategy

1. Read the word problem. Make sure you understand all the words and ideas.
2. Identify what you are looking for.
3. Name what you are looking for.
4. Translate into an equation.
5. Solve the equation using good algebra techniques.
6. Check the answer in the problem.
7. Answer the question with a complete sentence.

## What is the purpose of comparison?

The purpose of writing a comparison or contrast essay is not to state the obvious but rather to illuminate subtle differences or unexpected similarities between two subjects.