Then, input one coordinate, and get the other. Simplify the equation to get the general equation:Ġ = 0.2x - y + 14 □ If you need to find a different point on your line click on the advanced mode button. Now, input the values into the point-slope formula:Ĥ.The characteristic point is 20 pounds on 30th day: (x 1, y 1) = (30, 20).The slope is the change of weight per day: m = 0.2.Find the general equation of the puppy's growth. It grew 0.2 pounds every day, and after 30 days, he was 20 pounds. Let's solve an exercise with a more relatable subject. Now, you can check your result with our point-slope form calculator. Input the values into the point slope form formula:Īnd you have the answer.What is the general equation of the line? Let's have a look at two exercises, to understand the topic more clearly. In the two graphs below, you can see the same function, only described with two different forms of a linear equation: Y - b = m * (x - 0), which is the same as y = m * x + b. If you choose this point - (0, b), as a point that you want to use in the point-slope form of the equation, you will get: A straight line intercepts the y-axis in a point (0, b). The truth is that this is nothing else than a more precise point-slope form. The equation of the tangent line can be found using the formula y y 1 m (x x 1), where m is the slope and (x 1, y 1) is the coordinate points of the line. The more popular is the slope intercept form: x 1, y 1 are the coordinates of a point, andĭo you see the similarity to the slope formula? What you might not know is that it's not the only way to form a line equation.Let’s use the example from before: 5 cdot x + 10 0. All you have to do is enter the coefficient and the constant, and our tool will calculate the unknown. You can use it to solve every one-variable linear equation. Our calculator is pretty simple and easy-to-use. Point-slope form is a form of a linear equation, where there are three characteristic numbers - two coordinates of a point on the line, and the slope of the line. How to use the linear equation calculator. There is more than one way to form an equation of a straight line.
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