# How to write an equation in point slope form with fractions

Slope-intercept form linear equations Video transcript So you may or may not already know that any linear equation can be written in the form y is equal to mx plus b. Where m is the slope of the line. The same slope that we've been dealing with the last few videos.

## Graphing Fractions on a Number Line

Let's first quickly review slope intercept form. Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope rate and the y-intercept. Continue reading for a couple of examples!

Writing an Equation Given the Slope and Y-Intercept Write the equation for a line that has a slope of -2 and y-intercept of 5. I substituted the value for the slope -2 for m and the value for the y-intercept 5 for b.

The variables x and y should always remain variables when writing a linear equation. In the example above, you were given the slope and y-intercept.

## How do you change a point-slope form with fractions into a slope-intercept form? | Yahoo Answers

Now let's look at a graph and write an equation based on the linear graph. Locate another point that lies on the line. Calculate the slope from the y-intercept to the second point.

Write an equation in slope intercept form given the slope and y-intercept. You can also check your equation by analyzing the graph. You have a positive slope.

Is your graph rising from left to right? Yes, it is rising; therefore, your slope should be positive! We've now seen an example of a problem where you are given the slope and y-intercept Example 1.

## Point Slope Form and Standard Form of Linear Equations

Example 2 demonstrates how to write an equation based on a graph. Let's look at one more example where we are given a real world problem.

How do we write an equation for a real world problem in slope intercept form? What will we look for in the problem? Real World Problems When you have a real world problem, there are two things that you want to look for! The rate is your slope in the problem.

The following are examples of a rate:Salle, your equation y = (5/4)x + 3 is in slope-intercept form. The slope or m is 5/4 and the y-intercept or b is 3.