Suppose you are given the

**graph**of a**line**in the coordinate plane, and asked to**find**its**equation**. If you can**find**the -intercept and the slope , you can write the**equation**in slope-intercept form (unless, of course, it's a vertical**line**.) Example :**Find the equation**of the**line**shown.Consequently, how do you write an equation from a graph?

To

**write**an**equation**in slope-intercept form, given a**graph**of that**equation**, pick two points on the**line**and use them to find the slope. This is the value of m in the**equation**. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y- coordinate is the value of b in the**equation**.1

## How do you find the slope of a line on a graph?

Remember that the

**slope**of a line never changes, so you can choose whatever 2 points you want and you will always**get**the same**slope**. Calculate the rise and run (You can draw it on the**graph**if it helps). The**slope**is 2/4, which , of course, you can simplify to ½.2

## How do you find the equation of a line on a graph?

You can find the y-intercept by looking at the

**graph**and seeing which point crosses the y axis. This point will always have an x coordinate of zero. This is another way to find the y-intercept, if you know the**equation**, the y-intercept is the solution to the**equation**when x = 0. Let's find the**equation**for this**line**.3

## What is 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.

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## When an equation is linear?

Each solution is a pair of numbers (x,y) that make the

**equation**true. Solving a**linear equation**usually means finding the value of y for a given value of x. If the**equation**is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the**equation**can be solved in algebraic terms.5

## What is the formula for the slope?

This lesson covers the

**slope formula**. To solve the problems in this lesson, students use the**slope formula**, which states that m = (y2 -- y1) / (x2 -- x1). The**slope formula**can be read as "**slope**equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".6

## How do you determine the equation of a line?

**Calculate the y-intercept using the slope from the first step and the equation b = y - mx.**

- Plug your slope and coordinates into the above equation.
- Multiply the slope (m) by the x-coordinate of the point.
- Subtract that amount FROM the y-coordinate of the point.
- You've solved for b, or the y-intercept.

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## How do you find the Y intercept of a function?

To

**find**the**y**-**intercept**(s) (the point where the graph crosses the**y**-axis), substitute in 0 for x and solve for**y**or f(x). To**find**the x-**intercept**(s) (the point where the graph crosses the x-axis â€“ also known as zeros), substitute in 0 for**y**and solve for x. Examples:**Find**the**intercepts**of the**function**given.8

## What is the slope of a line and how do you find it?

To calculate the

**slope of a line**you need only two points from that**line**, (x1, y1) and (x2, y2). The**equation**used to calculate the**slope**from two points is: On a graph, this can be represented as: There are three steps in calculating the**slope**of a straight**line**when you are not given its**equation**.9

## What is the formula for the equation of a line?

You may already be familiar with the "y=mx+b" form (called the slope-intercept form of the

**equation of a line**). It is the same**equation**, in a different form! The "b" value (called the y-intercept) is where the**line**crosses the y-axis. So point (x_{1}, y_{1}) is actually at (0, b)10

## How do you find B?

Step 2: Use the formula y = mx +

**b**to determine the y-intercept,**b**. Replace x and y in the formula with the coordinates of one of the given points, and replace m with the calculated value, (2).**Find**the equation of the line whose graph contains the points (1,–2) and (6,5). The answer will look like y = mx +**b**.11

## What is the slope intercept form of the equation?

The first of the

**forms**for a linear equation is**slope**-**intercept form**. Equations in**slope**-**intercept form**look like this: y = mx + b. where m is the**slope**of the line and b is the y-**intercept**of the line, or the y-coordinate of the point at which the line crosses the y-axis.12

## What is the Y intercept?

Every straight line can be represented by an equation:

**y**= mx + b. The 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.13

## How do you write an equation in point slope form?

First, find the

**slope**using the**points**(- 2, 3) and (3, - 1): m = = = - . Next, pick a**point**-- for example, (- 2, 3). Using this**point**, h = - 2 and k = 3. Therefore, the equation of this line is y - 3 = - (x - (- 2)), which is equivalent to y - 3 = - (x + 2).14

## What is slope intercept form in math?

y = 5x

**+ 3**is an example of the Slope Intercept Form and represents the equation of a line with a slope of**5**and and a y-intercept of**3**. y = −2x + 6 represents the equation of a line with a slope of −**2**and and a y-intercept of 6.15

## How do you find the slope of a line given one point?

Find the

**Equation of a Line Given**That You Know a**Point**on the**Line**And Its**Slope**. 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 a**point**that a**line**passes through, and its**slope**, this page will show you how to find the**equation**of the**line**.16

## How do you display equation on chart in Excel?

Click on the “Trendline” icon and select the “Linear Trendline” option. You should

**see**a**graph**similar to this: Now we can**see**the straight line of the fit, but we do not**know**what the parameters of the**equation**are. To show the**equation**, click on “Trendline” and select “More Trendline Options…”17

## Is the rate of change the slope?

**Slope**and

**Rate of Change**- MathBitsNotebook(A1 - CCSS Math)

**Slope**is used to describe the measurement of steepness of a straight line. In different situations,

**slope**may be referredt to as incline, pitch, or grade (gradient).

**Slope**is also described as a

**rate of change**.

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## How do you graph an inequality?

**There are three steps:**

- Rearrange the equation so "y" is on the left and everything else on the right.
- Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
- Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).