Problem

Find the equation of the linear function represented by the table below in slope-intercept form.
\begin{tabular}{|c|c|c|c|c|c|}
\hline$x$ & 0 & 1 & 2 & 3 & 4 \\
\hline$y$ & 6 & 14 & 22 & 30 & 38 \\
\hline
\end{tabular}
Answer: $y=$
Submit Answer

Answer

Expert–verified
Hide Steps
Answer

Final Answer: \(\boxed{y=8x+6}\)

Steps

Step 1 :Find the slope using the first two points in the table: \(m = \frac{14 - 6}{1 - 0} = 8\)

Step 2 :Use the first point (0, 6) as the y-intercept: \(b = 6\)

Step 3 :Write the equation in slope-intercept form: \(y = mx + b\)

Step 4 :Substitute the slope and y-intercept: \(y = 8x + 6\)

Step 5 :Final Answer: \(\boxed{y=8x+6}\)

link_gpt