Question

Which equation represents the linear relationship in the table?draw the problem or calculate it.

Answer 1

The given coordinates are :

(x,y) = (-4,-3), (-2,-2), (0,-1),(2,0), (4,1)

The general equation of the line is express as :

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Substitute the value and simplify for the y:

`\begin{gathered} y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1) \\ y-(-3)=(-2-(-3))/(-2-(-4))(x-(-4)) \\ y+3=(-2+3)/(-2+4)(x+4) \\ y+3=(1)/(2)(x+4) \\ y=(1)/(2)x+2-3 \\ y=(1)/(2)x-1 \end{gathered}`

So, the equation is : y = 1/2x - 1

Answer : B) y = 1/2x - 1