Question

Which of the following equations describes the line shown below? Check allthat apply.(-2,6)(4,3)A. y-3 = -1/2 (x-4)B. y-6 = -1/2 (x+2)C. y-3 = -2 (x-4)D. y-6 = -1/2 (x-2)E. y-4 = -1/2 (x-3)F. y-6 = -2 (x+2)

Answer 1

To find the equation of the line, we will use the formula;

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_{1)}$

The points given are;

(-2, 6) and (4, 3)

x₁ = -2 y₁=6 x₂=4 y₂=3

Substitute the value into the formula

$y-6=\text{ }\frac{3-6}{4+2}(x+2)$

Evaluate

$y-6=\frac{-3}{6}(x+2)$$y-6=-\frac{1}{2}(x+2)$

The correct option is B