Question

Which function describes this table of values? X. Y-8. -2-4. 0 4. 4 8. 6

Answer 1

Given the table;

Since the function is linear. The general equation is given as;

`\begin{gathered} y=mx+c \\ \text{Where;} \\ m=(y_2-y_1)/(x_2-x_1) \\ (-8,-2),(-4,0) \\ x_1=-8,y_1=-2,x_2=-4,y_2=0 \end{gathered}`
`\begin{gathered} m=(0-(-2))/(-4-(-8)) \\ m=(2)/(4) \\ m=(1)/(2) \end{gathered}`

Now, let's use the third point to get the intercept c of the line. We have;