Introduction Straight lines are produced by linear functions. That means that a straight line can be described by an equation that takes the form of the linear equation formula. In the formula, y is a dependent variablex is an independent variablem is a constant rate of changeand b is an adjustment that moves the function away from the origin.
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. 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! Example 2 demonstrates how to write an equation based on a graph. 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:By using the above two information we can easily get a linear linear equation in the form y = mx + b. Here "m" stands for slope and "b" stands for y-intercept.
Now we have to notice whether the given line is solid line or dotted line. 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..
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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. Lindy LeGrant Writing Linear Equations Graphic Organizer FREEBIE! Reviews writing linear equations in slope-intercept form given slope & y-intercept, standard form, a graph, a point and slope, and two points.
Now that you can write an equation in the form y = mx + b (slope-intercept form), you will find it is easy to graph the line.. View the video below to see how you can graph a line when you are given the slope and the y-intercept of the line.
Slope-Intercept Form Any linear equation can be written in the form 1=˘ +slope and intercept. Sometimes the equation we need to graph will already be in slope-intercept form, but if it’s not, we’ll need to. Writing a Slope-Intercept Equation from a Graph.
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