Question

What is an equation of the line that passes through the points (4,-5) and (2,0)?

Answer 1

The equation would be y=-5/2x+5

Answer 2

Step-by-step explanation:

Given points (4 , -5 ) and (2 , 0 )

First we should calculate slope

Slope ( m) = (y2 - y1) / (x2 - x1)

= ( -5-0) / ( 4-2)

= -5/2

Now The equation of line is given by

y - y1 = m ( x - x1)

y-0 = -5/2 ( x - 2)

2y = -5 ( x - 2)

2y = -5x + 10

5x +2y - 10 = 0

Which is the required equation of line