# How to create a linear equation

### How do you write a linear equation?

**In order to**

**write**an**equation**, you will need to use the steps below:- Use the two ordered pairs to find the slope using the formula m=y2−y1x2−x1.
- Find the y-intercept by substituting the slope and one of the ordered pairs into f(x)=mx+b and solving for b.
- Substitute the slope and y-intercept into the function f(x)=mx+b.

### What is the formula for a linear function?

**Linear functions**are those whose graph is a straight line. A

**linear function**has the following form. y = f(x) = a + bx. A

**linear function**has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

### How do you write a linear equation with two points?

### How do you find the slope intercept form of an equation?

**Slope**–

**intercept form**, y=mx+b, of linear

**equations**, emphasizes the

**slope**and the y-

**intercept**of the line.

### How do you find the Y-intercept of an equation?

**find**the x-

**intercept**of a given linear

**equation**, plug in 0 for ‘

**y**‘ and solve for ‘x’. To

**find**the

**y**–

**intercept**, plug 0 in for ‘x’ and solve for ‘

**y**‘. In this tutorial, you’ll

**see**how to

**find**the x-

**intercept**and the

**y**–

**intercept**for a given linear

**equation**. Check it out!

### How do you find the slope and y-intercept of an equation?

### What is the Y-intercept when given two points?

**Steps**

- Calculate the
**slope**from 2**points**. For Example,**Two points**are (3, 5) and (6, 11) - Substitute the
**slope**(m) in the**slope**–**intercept**form of the equation. - Substitute either point into the equation. You can use either (3,5) or(6,11).
- Solve for b, which is the
**y**–**intercept**of the line. - Substitute b, into the equation.

### What does the M in Y MX B stand for?

**y**=

**mx**+

**b**for a straight line, the number

**m is**called the slope of the line. Definition 2. In the equation

**y**=

**mx**+

**b**for a straight line, the. number

**b is**called the

**y**–

**intercept**of the line.

### What formula is y MX B?

**equation**of any straight line, called a linear

**equation**, can be written as:

**y**=

**mx**+

**b**, where m is the slope of the line and

**b**is the

**y**-intercept. The

**y**-intercept of this line is the value of

**y**at the point where the line crosses the

**y**axis.

### How do you solve y MX B word problems?

### Why do they use the letter M for slope?

**It is**not known why the

**letter m**was chosen for

**slope**; the choice may have been arbitrary. John Conway has suggested

**m**could stand for “modulus of

**slope**.” One high school algebra textbook says the reason for

**m is**unknown, but remarks that

**it is**interesting that the French word for “to climb”

**is**monter.