Model the data in the table with a linear equation in slope-intercept form. Then tell what the slope and $y$ -intercept represent.
$Unknown environment 'tabular'$ & $Unknown environment 'tabular'$ \
\hline 1 & 8.50 \
\hline 3 & 25.50 \
\hline 6 & 51.00 \
\hline 9 & 76.50 \
\hline
\end{tabular}

Write the linear equation in slope-intercept form.
$y =$
(Use integers or decimals for any numbers in the expression.)

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Answer

$y = 8.5 x + 0$ or simply $y = 8.5 x$ is the linear equation in slope-intercept form

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Step 1 ：Calculate the slope (m) using the formula $m = \frac{y 2 - y 1}{x 2 - x 1}$ . Using the points (1, 8.50) and (3, 25.50), we get $m = \frac{25.50 - 8.50}{3 - 1} = \frac{17}{2} = 8.5$

Step 2 ：Find the y-intercept (b) using the formula $y = m x + b$ . Using the point (1, 8.50) and the slope 8.5, we get $8.50 = 8.5 * 1 + b$ , which simplifies to $b = 8.50 - 8.5 = 0$

Step 3 ： $y = 8.5 x + 0$ or simply $y = 8.5 x$ is the linear equation in slope-intercept form

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