The equation of a line in slope intercept form is y mx b where m is the slope of the line

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. Other forms of linear equations are the standard form and the point-slope form.

Equations of lines have lots of different forms. One form you're going to see quite often is called the slope intercept form and it looks like this: y=mx+b, where m stands for the slope number and b stands for the y intercept.
So, when you're doing problems where you're asked to write the equation in slope intercept form, you only need two pieces of information. The first piece of information you need is the slope number and the second piece of information you need is the y intercept. Once you have those two pieces, those two numbers, you just plug them in there and you're on your way.

Interpreting Lines:

This is an introduction to drawing lines when given the slope and the y-intercept in an equation form. Remember that the y-intercept is where the graph crosses the y-axis; this is where we usually start. First, find the y-intercept, then determine the slope. For now, just focus on whether the slope is positive or negative.

Here are the variables we will start using in our function:

• m = slope
• b = y-intercept

The equation is y = mx + b. The x and y variables remain as letters, but m and b are replaced by numbers (ex: y = 2x + 4, slope = 2 and y-intercept = 4). The following video will show a few examples of understanding how to use the slope and intercept from an equation.

Video Source (03:53 mins) | Transcript

y = mx + b

This equation is called the slope-intercept form because the two numbers in the equation are the slope and the intercept. Remember, the slope (m) is the number being multiplied to x and the intercept (b) is the number being added or subtracted.

Additional Resources

• Khan Academy: Intro to Slope-Intercept Form (08:59 mins; Transcript)
• Khan Academy: Worked Examples: Slope-Intercept Intro (04:39 mins; Transcript)

Practice Problems

1. Find the slope of the line:
   \(\text{y}=6\text{x}+2\)


2. Find the y-intercept of the line:
   \({\text{y}}=-7{\text{x}}+4\)


3. Find the slope of the line:
   \({\text{y}}=-3{\text{x}}+5\)


4. Find the y-intercept of the line:
   \({\text{y}}=-{\text{x}}-3\)

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