rewrite in slope intercept form calculator

Now you have y-intercept! Isn’t this so cool? Now that you have both slope and y-intercept, plug it back into the equation. Now, choose (out of the two) a point that you want to use. When you subtract (or add, because of the negative signs), you should get this: With the slope formula, plug in the coordinates for the appropriate variable!

Let's first find the slope with the two points given: Then, you’ll have both slope and y-intercept, and you can go with the normal processes!įind the equation of a line that passes through (-2,-1) and (1,5). That leaves b as the only variable in the equation. Plug those in for x and y in the equation, along with the slope you just found. Using the good old m = y2 - y1 / x2 - x1 formula, you’ll have to find the slope yourself. All you need to do is use the slope formula, solve for b, and rewrite the equation into the form. Teachers will sometimes decide not to give you the y-intercept or the slope, and instead give you 2 points. That’s it! You just graphed the line! Wasn't that so easy and fun? 😝 So the y-intercept in this problem should be (0,1). Remember 🤔: when you’re graphing the y-intercept, the coordinate should look like (0,b). First, what is the y-intercept, or b? That’s right, 1 is the y-intercept. The good news is that you’ll probably use it for the rest of your math career! So if you can, try to retain the information a little even after you take a test over this 😏 Yay! Wasn’t that so easy? That’s right: slope-intercept form is super easy to use and understand. Let’s look at what information we have so far: we have the slope and y-intercept. If you have the right equation, you’re off to a good start ✔️. Then graph the line.įirst, look at the equation that you need to use 👀: Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework. Then, use the slope to plot another point, which could be either (-1,-2) or (1,4) depending on which direction you decide to go.īut what does that mean? Let’s look at an example to visualize it! 🤩įind the equation of a line that has the slope of 3 and y-intercept of 1. The slope-intercept form is y mx+ b y m x + b, where m m is the slope and b b is the y-intercept. The y-intercept is the point where the line crosses the y-axis. That’s all you need to do! If you need to graph it, plot the point (0,1) since 1 is the y-intercept.

Once you do that, solve for b and then rewrite the equation, so the equation looks something like this: Then, you’ll use one of the coordinates and plug it in for x and y. If you’re only given two points, you’ll have to find the slope of the line using the slope formula (m=y2-y1/x2-x1). If you’re given the slope and the y-intercept, you just need to plug each number in for their respective variables 🖩. This equation can be solved with just slope and/or y-intercept. This form is used often because it’s really easy to graph! Because you’re given the y-intercept, you can think of it as (0,b) when looking at it as a coordinate. Here, the m represents the slope, and b represents the y-intercept. Equations 1 and 2 each have just one variable. Equation Method 1 x 2 Vertical line 2 y 1 Horizontal line 3 x + 2y 6 Intercepts 4 4x 3y 12 Intercepts 5 y x + 4 Slopeintercept. The Slope-Intercept Form 📈 looks like this: Here are five equations we graphed in this chapter, and the method we used to graph each of them. Welcome to this how-to-slope-intercept-form guide! In this guide, we’ll look at how to use slope-intercept form and how to use that information when graphing! Buckle up, everyone! 🚀 If you graph these points on a sheet of graph paper one or enter them in a graph calculator, you'll see this equation has infinite solutions, not one solution, so therefore, this equation doesn't have one solution but rather infinite solutions.How to Use and Graph Slope-Intercept Form

Great! Now, we have our simplified equation, we'll graph it by creating a table of values (minimum is 2) : Now, that we've got our results, it's time to replace them with our current ones: The first step is to rewrite into slope-intercept form which is y = mx + b, and we'll do that by moving 2x to the other side to isolate y:ģy = -2x + 15 (we switched 2x's signs because we moved it from one side to another)Īlrighty! We have written it in slope-intercept form, but y isn't single as there's still 3 so we'll have to simplify by dividing 3 by each number: First, however, we'll have to rewrite the equation as it's not in slope-intercept form then graph it. Hi, Elle! There's no way you can tell if it's one solution unless you graph it.

Rewrite in slope intercept form calculator