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• Write the equation of the line represented by each table. I 0 17 3 6 6 5 9 9

1 Answer

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For the first table

Let's pick 2 points

x₁ = 0 y₁= 17

x₂ = 3 y₂ = 11

To form the equation, we will use the formula;


y-y_1=\text{ }(y_2-y_1)/(x_2-x_1)=(x-x_1)

substitute the values into the formula;


y-17=(11-17)/(3-0)(x-0)

Evaluate


y-\text{ 17 =}(-6)/(3)(x-0)

y - 17 = -2x

add 17 to both-side of the equation

y= -2x + 17

The above is the equation of the line for the first table

Fo the second table

Let's also pick 2 points

x₁ = 3 y₁= -2

x₂ = 6 y₂ = -4

Substitute into the formula;


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

Evaluate


y\text{ + 2 =}(-2)/(3)(x\text{ - 3)}
y\text{ + 2=-}(2)/(3)x\text{ + 2}

subtract 2 from both-side of the equation


y=-(2)/(3)x

The above is the equation for table 2

User Zigojacko
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