Question

Find the Equation of the line

Answer 1

Answer:

$y = \frac{1}{2}x + \frac{1}{2}$

Step-by-step explanation:

Mark any two point on the line

(-1 , 0)  & (-3 , -1)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

          $= \frac{-1-0}{-3-[-1]}\\\\= \frac{-1}{-3+1}\\\\= \frac{-1}{-2}\\\\= \frac{1}{2}$

m = 1/2   ; (-1 , 0)

Equation: $y - y_{1} =m(x -x_{1})$

$y - 0 = \frac{1}{2}(x - [-1])\\\\y = \frac{1}{2}(x + 1)\\\\y = \frac{1}{2}x + \frac{1}{2}$