With usual , notations derive the equation of the line in the slope - point form as $y - y_{0} = m (x - x_{0})$

Open in App

Solution

Suppose that $A (x_{0}, y_{0})$ is a fixed point on a line L whose slope is m . Let P (x , y ) be an arbitrary point on L
$∴$ Slope of $L = m = \frac{y - y_{0}}{x - x_{0}} (∵ m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}})$
$i . e, y - y_{0} = m (x - x_{0})$

Suggest Corrections

Similar questions

(x + 1)^{2} + (y + 1)^{2} = r^{2}

m

y

b

The coordinates (x0,y0) of the point on the line y = x + 2 which is close to the parabola y²= 4x is :

y_{0}

y_{c}

y_{c} > y_{0} > y

M_{1}

y_{0} > y > y_{c}

S_{3}

y > y_{c} > y_{0}

M_{2}

y > y_{0} > y_{c}

S_{1}

(x_{0}, y_{0})

a x + b y + c = 0

Join BYJU'S Learning Program