General Form Equation Calculator
Calculate the General Form Equation of a line (Ax + By + C = 0) with this General Form Linear Equation Calculator. The calculator will present you with all three variables for the General Form Equation.
What is the General Form Linear Equation?
General Form Linear Equation: (Ax + By + C = 0)
How calculate the General Form Linear Equation from two coordinates (x1,y1) and (x2,y2).
Step 1: Calculate the slope (m) from the coordinates (y2 - y1) / (x2 - x1). Then reduce the resulting fraction to the simplest form.
Step 2: From the slope, calculate variables A and B with this equation.
Slope = - A / B
Step 3: Calculate the variable C by applying one of the coordinates to the equation: Ax + By = -C.
Result: Now you have calculated all three variables (A, B and C) for the
General Form Linear Formula.
To calculate the General Form Linear Equation for a line that includes the two points ( -3, -1) and (3, 2).
Step 1: Determine the slope (m) : y2-y1 / x2-x1
(2 - -1) / (3 - -3)= 3/6 = 1/2
Step 2: From the slope, calculate variables A and B with the equation
Slope = - A / B.
1/2 = - A / B
A = -1, B = 2
Step 3: Calculate the variable C to by applying one of the coordinates
(3, 2) to the equation Ax + By = -C.
-1x + 2y = -C
-3 + 4 = -C
1 = -C
C = -1
Result: The General Form Line Equation for coordinates ( -3, -1) and (3, 2)
is: -1x + 2y - 1 = 0
A = -1, B = 2, and C = -1