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=(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{ }(3-6)/(4+2)(x+2)`

Evaluate

`y-6=(-3)/(6)(x+2)`
`y-6=-(1)/(2)(x+2)`

The correct option is B