Find the equation of the line shown.

Answer:
[tex]\sf y = \dfrac{1}{2} x + \dfrac{1}{2}[/tex]
Explanation:
Take two points: (1, 1), (-1, 0)
Find slope:
[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]
[tex]\sf = \ slope : \dfrac{0 -1}{-1-1}[/tex]
[tex]\sf = \ slope : \dfrac{1}{2}[/tex]
Equation:
⇒ y - y₁ = m(x - x₁)
⇒ y - 1 = 1/2(x - 1)
⇒ y = 1/2x - 1/2 + 1
⇒ y = 1/2x + 1/2