Find a linear model for the following data table. $$\begin{array} { | l | l | l | l | l | }
\hline x & 1 & 3 & 5 & 7 \
\hline y & 7 & 11 & 15 & 19 \
\hline
\end{array}$$
A) $y = 2 x + 5$
B) $y = 5 x + 2$
C) $y = 4 x + 3$
D) $y = 3 x + 4$

Question

Find a linear model for the following data table. $$\begin{array} { | l | l | l | l | l | } 
\hline x & 1 & 3 & 5 & 7 \
\hline y & 7 & 11 & 15 & 19 \
\hline
\end{array}$$
A) $y = 2 x + 5$
B) $y = 5 x + 2$
C) $y = 4 x + 3$
D) $y = 3 x + 4$

Quizplus · Accepted Answer

The slope (m) can be calculated using any two points from the table. For example, using the first two points (1, 7) and (3, 11), the slope m = (11 - 7) / (3 - 1) = 4 / 2 = 2. To find the y-intercept (b), we can use the equation of a line y = mx + b with any point, such as (1, 7). Plugging in, we get 7 = 2*1 + b, solving for b gives b = 5. Therefore, the linear model is y = 2x + 5.

Find a Linear Model for the Following Data Table x1357y7111519\begin{array} { | l | l | l | l | l | } \hline x & 1 & 3 & 5 & 7 \\\hline y & 7 & 11 & 15 & 19 \\\hline\end{array}xy​17​311​515​719​​

Find a Linear Model for the Following Data Table $\begin{array} { | l | l | l | l | l | } \hline x & 1 & 3 & 5 & 7 \\\hline y & 7 & 11 & 15 & 19 \\\hline\end{array}$