Question

Find a equation of straight line

(3,5) and (-1,15)

Answer 1

Answer:

2y + 5x - 25 = 0

Step-by-step explanation:

Given coordinates are :

• (3, 5) = ( x1, y1 )
• ( -1, 15) = ( x2, y2)

We will use two point form of straight line.

$\implies \: y - y_1 =\left( \dfrac{y_2-y_1}{x_2-x_1} \right)(x-x_1)$

$\implies \: y - 5 =\left( \dfrac{15 - 5}{ - 1 - 3} \right)(x-3)$

$\implies \: y - 5 =\left( \dfrac{10}{ - 4} \right)(x-3)$

$\implies \: y - 5 = - \dfrac{5}{ 2} (x-3)$

$\implies \: 2(y - 5 )= - 5 (x-3)$

$\implies \: 2y - 10= - 5x + 15$

$\implies \: 2y + 5x- 25= 0$

This is the required equation of straight line.