Question

Find the equation of the line shown.​

Answer 1

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

Step-by-step explanation:

Take two points: (1, 1), (-1, 0)

Find slope:

`\sf slope: (y_2 - y_1)/(x_2- x_1) \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points`

`\sf = \ slope : (0 -1)/(-1-1)`

`\sf = \ slope : (1)/(2)`

Equation:

⇒ y - y₁ = m(x - x₁)

⇒ y - 1 = 1/2(x - 1)

⇒ y = 1/2x - 1/2 + 1

⇒ y = 1/2x + 1/2