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. 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. Try the point slope form calculator to cross-check the above result.Introducing the Line Calculator, a tool for quickly and accurately finding line equations. Multiply by -1 on both sides of the above expression.Ĥx – y – 7 = 0 For negative coordinate pointsįind the linear equation of the line if the slope is 3.5 and the coordinate points are (-13, -12). Step 2: Take the formula of the point-slope form and substitute the given values. For positive coordinate pointsįind the linear equation of the line if the slope is 4 and the coordinate points are (3, 5).
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