![]() ![]() 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. There are different forms of equations of lines that are used to represent linear relationships on a coordinate plane. 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. How to find the Slope of a line? Lumen.Introducing the Line Calculator, a tool for quickly and accurately finding line equations. What is the slope of a line? Khan Academy. The measure of the steepness of the line is denoted by the letter "m". The slope is the measure of the rise over run of the given coordinate points of x and y. Slope (m) = 0.5 Frequently Asked Question Now that we have the equation of the straight line, a slope can be found by comparing it to the original equation where m represents the slope. Step 2: Simplify the right side of the equation. Step 1: Arrange the equation in the form of y = mx + c ![]() Let’s find the slope using the line equation.įind the slope of line in the following line equation. Slope can also be found if you have an equation of a line. Hence the slope of the line is -0.8 and negative in nature. Step 2: Find the difference between the points. Slope Using Two Pointsįind the slope of the line passing through points (3,6) and (8,2). But if you want to calculate it yourself, keep on reading the example below. If you need to find a slope quickly and without any error, you can use the slope finder for that purpose. The line doesn't move to the Left or Right Not Increasing or decreasing from Left to Right
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