How to Find the Equation of a Line? There are several cases of finding an equation of a line, their different forms one is two-point form, others include slope-point form and slope-intercept form. To understand this concept, you need to know the general form of the equation of a line which is given by; y = mx + c: Here, m is the slope or gradient, c is the y-intercept, x, and y are the variables. If you have two points, you can find out the slope using this formula. m=(y2 - y1)/(x2 - x1) Once you have the slope, you can use any of the points to find the y-intercept. When you have a slope and a point, you can substitute the slope into the equation and use the given point to calculate the y-intercept. Another case is when you have the slope and y-intercept, you just have to input the values to find the equation of the line.
When we write an equation for a line, we are writing a fixed recipe that can be replicated over and over. It basically defines the line. Line equation follow the format of y=mx+b. Where x and y are coordinate values of their respective axis. The value b is the y-intercept meaning this is where the line crosses the y-axis. The variable m is the slope of the line. Slope really gives you an idea of the steepness and direction of the line. These worksheets explain how to find the equations and slopes of lines and plot the lines. Your students will use these activity sheets to practice determining equations for lines, as well as calculating slope, point and y-intercepts, and graphing lines on a coordinate plane using a given equation.