Linear statements look like lines when they are graphed and have a constant slope.
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:Improve your math knowledge with free questions in "Slope-intercept form: write an equation" and thousands of other math skills.
Algebra 1 CSL Writing Equations of Lines Name_____ Writing Equations of Lines Review for Quiz Period____ A. Write the slope-intercept form of the equation of each line given the slope and y-intercept. Solving Inequalities Worksheets. Solving Inequalities Worksheet 1 – Here is a twelve problem worksheet featuring simple one-step inequalities.
Use inverse operations or mental math to solve for x. Solving Inequalities Worksheet 1 RTF. 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.
This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept. (For a review of how this equation is used for graphing, look at slope and graphing.). I . Purplemath. In the previous lesson, we saw the slope-intercept form for straight lines.
The other format for straight-line equations is called the "point-slope" form.