# Write an equation of a line in slope intercept form using the graph below

Now, whenever you see an equation in this form, this is called slope-intercept form. Site Navigation Investigating Slopes of Lines Often when a student hears the word slope, many different things come to mind. What can be confusing is that all of these descriptions are correct. Slope is a characteristic of a line and can either be positive or negative. This graph has a positive slope.

When you look at the line going from left to right, it appears as if you are going up a hill. Another way to describe what is happening is to say that as the x-values increase the y-values also increase.

Whenever both the x and y variable change in the same direction, the slope of the line will be positive. The graph below has a negative slope. When you look at the line going from left to right, it appears as if you are going down a hill. You can also say that as the x-values are getting larger, the y-values are getting smaller.

When the x and the y variable change in opposite directions, the slope will be negative. How Can I Find Slope? The answer to this question depends on the type of information you are given. Given A Graph As seen from the previous graphs, you can make a determination about the slope of a line simply by looking at a graph. Depending on the amount of detail shown on the graph, it may be possible to find an exact value for the slope or you may only be able to tell whether the slope is positive or negative.

If you cannot determine particular points on the graph, you will only be able to describe slope as being positive or negative. Is the slope of the graph below positive or negative? The slope of this graph is negative.

As we move along the line from left to right, we are going down a hill which means the slope is negative. The slope of this graph is positive. As we move along the line from left to right, we are going up a hill which means the slope is positive.

When it is possible to read two points from a graph, you can find an exact value for slope. Given An Equation Equations of lines can be presented in many forms. The easiest form to work with for finding slope is called the slope-intercept form of a line and is written as.

In this form, m is the slope and b is the y-intercept. In this lesson, we will only talk about the slope. For more information on the y-intercept, click here.

When you are given an equation in slope-intercept form is given, you can quickly determine that the slope of that line is When a line is given in a different form, it requires a little more work to find the slope.Sometimes the directions will say to write the equation in the slope/intercept form.

Basically this means to solve the equation for alphabetnyc.com how y is by itself and everything else is on the other side.

Most times you will need to start the problem using the point/slope form and then you just solve for y to get it into the slope/intercept form.

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## Slope-intercept equation from graph (video) | Khan Academy

Answer: Step-by-step explanation: From the graph of the line you can see that this line passes through the points (0,0) and (1,1). The equation of the line that passes through the points and is.

Therefore, the equation of the graphed line is. How to Calculate Slope and Intercepts of a Line - Finding the x-intercept, Given the Slope and Y-interceptSet up the formula y=mx+b {displaystyle y=mx+b}.Plug the slope and y-intercept into the alphabetnyc.com y to alphabetnyc.comte the equation, solving for alphabetnyc.com your work.

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## Slope Intercept Form Calculator

General Equation of a Line: ax + by = c. Explore the graph of the general linear equation in two variables that has the form ax + by = c using an applet. 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.

Linear Functions and Equations, Slope-Intercept Form | Zona Land Education