Our calculator delivers instant results necessary for class assignments or on-the-spot problem-solving. Our calculator provides detailed breakdowns, ensuring you grasp the underlying principles. It's about more than just getting the answer it's also about understanding the process. Our sophisticated algorithm ensures that you receive precise results every single time. It is a one-stop solution for all your line equation problems. Input two points using numbers, fractions, mixed numbers or decimals. The calculator accepts different types of input data and outputs all common forms of the equation of a line. Its equation in the general form is $$$2x-3y=6 $$$.ĭesigned keeping simplicity and efficiency in mind, the interface ensures you spend less time figuring out how to use the tool and more on understanding the results. The equation of a line in the general form is $$Ax+By+C=0 $$Įxample: Suppose you have a line with $$$A=2 $$$, $$$B=-3 $$$, $$$C=6 $$$. Step 1: Enter the point and slope that you want to find the equation for into the editor. This form is especially suitable for describing vertical lines and allows for greater flexibility in representing linear equations. It involves coefficients $$$A $$$, $$$B $$$, and $$$C $$$, which can be real numbers. The general form is another representation of the equation of a line. This form allows you to quickly write the equation without needing the y-intercept. The equation of a line in the point-slope form is $$y-y_1=m\left(x-x_1\right) $$Įxample: Given a line passing through the point $$$(2,5) $$$ with a slope of $$$3 $$$, its equation in the point-slope form is $$$y-5=3(x-2) $$$. This form is useful when you know a point on the line and its slope but not the y-intercept. In this form, the equation of a line is expressed using its slope $$$m $$$ a specific point $$$\left(x_1,y_1\right) $$$. This means that for every unit increase in $$$x $$$, $$$y $$$ increases by $$$2 $$$ units, and the line crosses the y-axis at the point $$$(0,3) $$$. The equation of a line in the slope-intercept form is $$y=mx+b $$Įxample: Consider a line with a slope of $$$2 $$$ and a y-intercept of $$$3 $$$. The slope determines the line's steepness, while the y-intercept indicates where the line crosses the y-axis. This widely-used form represents a line's equation using its slope $$$m $$$ and y-intercept $$$b $$$. Let's explore these forms in more detail. Each form serves specific purposes and offers insights into a line's characteristics and behavior. Enter all known values of X and Y into the form below and click the 'Calculate' button to calculate the linear regression equation. It also produces the scatter plot with the line of best fit. There are different forms of equations of lines that are used to represent linear relationships on a coordinate plane. You can use this Linear Regression Calculator to find out the equation of the regression line along with the linear correlation coefficient. It provides a mathematical description of how the line behaves. The equation of a line is a fundamental concept in algebra that represents a straight line on a coordinate plane. It will also provide step-by-step explanations to help you understand the process. The calculator will immediately show the calculated line equation. Double-check your inputs to ensure accuracy.Ĭlick the "Calculate" button to find the equation of the line based on the provided inputs. Depending on the chosen type, enter the required inputs. You can opt for slope and point, or two points. Tailored for students, educators, engineers, and math enthusiasts, it helps to calculate line equations with no effort. Simplify the equation to get the general equation:Ġ = 0.2 x − y + 14 \small 0 = 0.2x - y + 14 0 = 0.Introducing the Line Calculator, a tool for quickly and accurately finding line equations. Now, input the values into the point-slope formula: 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. What is the linear equation from two points The linear equation from two points (x1, y1) and (x2, y2) describes the unique line that passes through these points. Now, you can check your result with our point-slope form calculator.
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