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.
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.
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.
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.
You have already shown if x = 0, then y = 3. Video Lessons for every subject in most middle school math curriculum.
Organized by grade and quarter to help you find or schedule your lessons. graphing linear equations, when the equation is given in the slope-intercept form (y = mx + b)graphing linear equations, when the equation is given in the normal form (Ax + By + C = 0); graphing lines, when the slope and one point on it are given.
Linear equations can take several forms, such as the point-slope formula, the slope-intercept formula, and the standard form of a linear equation.
These forms allow mathematicians to describe the exact same line in different ways. Several questions on the GED math test will require you to understand and know how to work with fractions. Fractions are normally used to express parts of a whole number. Point-slope form is all about having a single point and a direction (slope) and converting that between an algebraic equation and a graph.
In the example above, we .