eguruchela

Two Point form Calculator

Enter the values for x and y coordinates for two points in a straight line and calculator find the equation of the straight line passing through the two given points.


equation of the straight line passing through the two points


To Calculate Equation of a straight line passing
through two points using follwoing formula: $$\frac{(y-y_1)}{(y_2-y_1)} = \frac{(x-x_1)}{(x_2-x_1)}$$

Example

Let's take the example of line passing through two point (-4, 3) and (9, 8):
Now apply the given value of (x1, y1) and (x2, y2) in the formula:
$$\frac{(y-y_1)}{(y_2-y_1)} = \frac{(x-x_1)}{(x_2-x_1)}$$ $$\frac{(y-3)}{(8-3)} = \frac{(x-(-4))}{(9-(-4))}$$ $$\frac{(y-3)}{(5)} = \frac{(x+4)}{(9+4))}$$ $$\frac{(y-3)}{5} = \frac{(x+4)}{13}$$ $$(y-3) \times{13} =(x+4)\times {5}$$ $$13y-39 =5x+20$$ $$13y-5x= 20 + 39$$ $$13y-5x= 59$$ $$-5x + 13y = 59$$