Question

Find the equation of the line shown.​

Answer 1

Answer:

$\sf y = \dfrac{1}{2} x + \dfrac{1}{2}$

Explanation:

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

Find slope:

    $\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

$\sf = \ slope : \dfrac{0 -1}{-1-1}$

$\sf = \ slope : \dfrac{1}{2}$

Equation:

⇒ y - y₁ = m(x - x₁)

⇒ y - 1 = 1/2(x - 1)

⇒ y = 1/2x - 1/2 + 1

⇒ y = 1/2x + 1/2