In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the “slope-intercept form”.

## What is slope-intercept form in math?

The slope-intercept form of a linear equation is where one side contains just “y”. So, it will look like: y = mx + b where “m” and “b” are numbers. This form of the equation is very useful. The coefficient of “x” (the “m” value) is the slope of the line. And, the constant (the “b” value) is the y-intercept at (0, b)

## How do you find slope intercept?

The equation for slope-intercept form is: y=mx+b In this form, m is the slope of the line and the b is the y-intercept.

## What is slope intercept example?

Examples. 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.

## How do you explain slope and intercept?

The slope indicates the steepness of a line and the intercept indicates the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables, and can be used to estimate an average rate of change.

## Why is it called slope-intercept form?

One form of the equation of a straight line is called the slope-intercept form because it contains information about these two properties. In the equation y = mx + c the value of m is called the slope, (or gradient), of the line. When drawing a line, c gives the position where the line cuts the vertical axis.

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## How do you find slope-intercept form from points?

Steps to find the equation of a line from two points:

1. Find the slope using the slope formula.
2. Use the slope and one of the points to solve for the y-intercept (b).
3. Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

## How do you find the intercept?

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation y = 3 x − 1 displaystyle y=3x – 1 y=3x−1. To find the x-intercept, set y = 0 displaystyle y =0 y=0.

## What is slope-intercept form B?

In the equation of a straight line (when the equation is written as “y = mx + b”), the slope is the number “m” that is multiplied on the x, and “b” is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the “slope-intercept form”.