equation slope intercept form calculator

Add 2y to both sides to get 6x = 12 + 2y.

Your goal is to get the equation into slope intercept format y = mx + b You have the equation of a line, 6x - 2y = 12, and you need to find the slope. If you have the equation for a line you can put it into slope intercept form. Slope intercept form y = 2x + 1 becomes 2x - y = -1 written in standard form. Subtract 1 from both sides of the equation to get 2x - y = -1 Subtract y from both sides of the equation to get 2x - y + 1 = 0 Note that the equation should not include fractions or decimals, and the x coefficient should only be positive. Use either the point slope form or slope intercept form equation and work out the math to rearrange the equation into standard form. You may also see standard form written as Ax + By + C = 0 in some references. Find the difference between the y coordinates, Δy is change in y.

Here you need to know the coordinates of 2 points on a line, (x 1, y 1) and (x 2, y 2). If you graph it, it should look like this:\ Tada! Even without slope and y-intercept, you still managed to break through and solve the problem! Well done! 🙌 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 👀: 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 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. The Slope-Intercept Form 📈 looks like this: 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! 🚀

How to Use and Graph Slope-Intercept Form

Equation slope intercept form calculator