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

Which Equation Represents The Linear Relationship In The Tabledraw The Problem Or Calculate It class=

Sagot :

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 :

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute the value and simplify for the y:

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

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

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

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