Y and x stand for the coordinates of any points on the 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.
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:Edit Article How to Find the Y Intercept. In this Article: Article Summary Finding the Y-Intercept from the Slope and Point Using Two Points Using an Equation Community Q&A The y-intercept of an equation is a point where the graph of the equation intersects the Y-axis.
In statistics, linear regression is a linear approach to modelling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables).The case of one explanatory variable is called simple linear monstermanfilm.com more than one explanatory variable, the process is called multiple linear regression.
Write the slope-intercept form of the equation of each line. 1) 3 x − 2y = −16 2) 13 x − 11 y = −12 3) 9x − 7y = −7 4) x − 3y = 6 5) 6x + 5y = −15 6) 4x − y = 1 7) 11 x − 4y = 32 8) 11 x − 8y = −48 Write the standard form of the equation of .
Algebra Help. This section is a collection of lessons, calculators, and worksheets created to assist students and teachers of algebra. Here are a few of the ways you can learn here.
This can be done by calculating the slope between two known points of the line using the slope formula. Find the y-intercept.
This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula . To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope.
This is the value of m in the equation. Next, find the coordinates of the y -intercept--this should be of the form (0, b).