Question

Complete the function table for each equation Part A and Part B(Explain And tell the similarities or differing features of each expression)

Answer 1

(A)

From the given equation

$y=-\frac{1}{2}x-5$

Then,

Put one-by-one all values of the x into the above equation

So,

$\begin{gathered} y=-\frac{1}{2}x-5 \\ x=2,\text{ y=-}\frac{1}{2}(2)-5=-6 \\ x=-7,\text{ y=-}\frac{1}{2}(-7)-5=-\frac{3}{2} \\ x=1,\text{ y=-}\frac{1}{2}(1)-5=-\frac{11}{2} \\ x=0,\text{ y=-}\frac{1}{2}(0)-5=-5 \\ x=9,\text{ y=-}\frac{1}{2}(9)-5=--\frac{19}{2} \end{gathered}$

Now,

For (B)

From the equation:

$y=x-9$

Then,

$\begin{gathered} y=x-9 \\ x=2,\text{ y=2-9=-7} \\ x=0,\text{ }y=0-9=-9 \\ x=-6,\text{ }y=-6-9=-15 \\ x=5,\text{ }y=5-9=-4 \\ x=1,\text{ }y=1-9=-8 \end{gathered}$