Respuesta :

[tex]y - 4 = \frac{3}{4} (x - 2)[/tex]

Answer:

The correct answer is last option

(y - 4) = 3/4(x - 2)

Step-by-step explanation:

It is given a graph with a line

To find the slope of line

The two points on the line are (2, 4) and (-6, -2)

Slope = (y₂ - y₁)/(x₂ - x₁)

  = (-2 - 4)/(-6 - 2)

  = -6/-8

  = 3/4

To find the equation

(x₁, y₁) = (2, 4)

(y - y₁)/(x - x₁) = 3/4

(y - 4)/(x - 2) = 3/4

(y - 4) = 3/4(x - 2)

Therefore the correct answer is last option