Question

Find the Equation of the line

Answer 1

`y = (1)/(2)x + (1)/(2)`

Explanation:

Mark any two point on the line

(-1 , 0) & (-3 , -1)

Slope =
`(y_(2)-y_(1))/(x_(2)-x_(1))\\`

`= (-1-0)/(-3-[-1])\\\\= (-1)/(-3+1)\\\\= (-1)/(-2)\\\\= (1)/(2)`

m = 1/2 ; (-1 , 0)

Equation:
`y - y_(1) =m(x -x_(1))`

`y - 0 = (1)/(2)(x - [-1])\\\\y = (1)/(2)(x + 1)\\\\y = (1)/(2)x + (1)/(2)`