graphing lines in slope intercept form calculator

Starting with 4 = 2(3) + b, rearrange the equation in a few steps: Therefore, all you have to do is rearrange the variables to find the y intercept. As you can see, b is the only variable which remains in your equation. The next step to take is to solve for b or the y intercept.

Substitute these values for the x and y values in the equation: 4 = 2(3) + b.

In our example, the coordinates of the point of the line are (3,4) which means that x = 3 and y = 4. As long as you have the values of the coordinates of any single point on the given line, you can substitute these values for the y and x coordinates in the equation. Now it’s time to replace the y and x coordinates of your point.Therefore, when you’re writing the slope-intercept equation, write the slope of the line in place of m. In this equation, substitute the value for the slope.In this form of the equation, the m variable refers to the slope while the b variable refers to the y intercept. Remember that you can write any given straight line as an equation: y = mx + b. The next thing to do is to learn the equation’s slope-intercept form.With this information, you can find the y intercept by following the next few steps. Let’s assume that you have a straight line with a slope 2 and the point (3,4).For this, you would also have the (x,y) coordinates of a single point along the given graph. The slope refers to the value which tells you the steepness of the line. First, write down the values for the point and the slope.There are different ways to find an equation’s y intercept but since this article is all about the slope intercept, we’ll use this method. In an equation, the y-intercept refers to the point where the equation’s graph intersects with the y-axis. In sociology, the y intercept may refer to the population at the time when sociologists began recording the said population.įor instance, if these sociologists took the measurements from the year 1996, then the y intercept corresponds to “the population in 1996” while x=o corresponds to “the year 1996.” How to find y intercept? You can think of the y intercept as the starting value.įor an exercise that’s time-based, this refers to the value when you began reading or when you began keeping track of the time and all the changes related to it. To help you understand this better, let’s look at the y intercept in the context of word problems. When you have an x value equal to zero, the corresponding y-value is the y intercept. Then you can check whether you solved the slope correctly or not using the slope intercept calculator or the y intercept calculator. The last step is to divide both sides of the equation by (x₂ – x₁) to obtain the slope:Īfter solving for the slope, you can take it further in order to obtain the y intercept:.After this, subtract your first equation from the second one:.Using the equation, substitute the values:.

For the first point, let’s assign its coordinates as (x1, y1) while the coordinates of the second point are (x2, y2).

To understand the calculation correctly, follow these steps: If you want to solve for the value manually instead of using a slope intercept form calculator, use the proper point slope formula. If you have a negative value, this means that the y values decrease as the x increases. If you have a positive value, this means that the y values increase as the x increases. This slope intercept form describes how much y changes for any fixed change that occurs in x. In this case, the slope refers to the line’s gradient or inclination. Mathematically, you can describe any line in a given plane as the relationship between the y-axis and the x-axis of the individual points which contribute to that line. Before using this slope or y intercept calculator, you must understand what a slope intercept form is in math.

Graphing lines in slope intercept form calculator