Question

5. **Which equation could be represented by the table below? (2 points) 0 1 2 3 20 29 y2 11 (A) y = 2x + 9 (B) J = 3x + 5 (C) y = 9x + 11 (D) y = 9x + 2

Answer 1

Remember, the expression that represents a line is:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`

As a first step, we can calculate the slope of the line with two of the points given:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(11-2)/(1-0)=(9)/(1)=9 \end{gathered}`

Now, having the slope and since the y-intercept is given from the table, y-intercept is when x=0.

y-intercept= 2

Then, the equation that represent the table is:

`y=9x+2`