# फार्मूलरी:Maths - Geometry - Straight Line ⁄

## Straight Line ⁄

### परिभाषाएं:

• x1: x1-coordinate
• x2: x2-coordinate
• y1: y1-coordinate
• y2: y2-coordinate
• m: Slope
• b: y-intercept
• f:
• y: Equation

#### Slope Formula

$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
m = Slope
y2 = y2-coordinate
y1 = y1-coordinate
x2 = x2-coordinate
x1 = x1-coordinate

#### Main Form

$$y = m \times x + b$$
y = Equation
m = Slope
b = y-intercept

$$y = \frac{y_2 - y_1}{x_2 - x_1} \times x + \left( y_2 - \frac{y_2 - y_1}{x_2 - x_1} \times x_2 \right)$$
y = Equation
y1 = y1-coordinate
y2 = y2-coordinate
x1 = x1-coordinate
x2 = x2-coordinate
y2 = y2-coordinate
y1 = y1-coordinate
y2 = y2-coordinate
x1 = x1-coordinate
x2 = x2-coordinate
x2 = x2-coordinate

$$y = m \times x + \left( y_2 - m \times x_2 \right)$$
y = Equation
m = Slope
y2 = y2-coordinate
m = Slope
x2 = x2-coordinate

$$y = m \times x + \left( y_1 - m \times x_1 \right)$$
y = Equation
m = Slope
y1 = y1-coordinate
m = Slope
x1 = x1-coordinate

#### Point Slope Form

$$y - y_1 = \frac{y_2 - y_1}{x_2 - x_1} \times \left( x - x_1 \right)$$
f =
y1 = y1-coordinate
y1 = y1-coordinate
y2 = y2-coordinate
x1 = x1-coordinate
x2 = x2-coordinate
x1 = x1-coordinate