Find the slope and $y$-intercept of the line: $2 x-16 y=48$ Write your slope as a simplified fraction and your $y$-intercept as an orclered pair?
Answer
Final Answer: The slope of the line is \(\boxed{\frac{1}{8}}\) and the y-intercept is \(\boxed{(0, -3)}\).
Step 1 ：Given the equation of the line is \(2x - 16y = 48\).
Step 2 ：We need to rearrange the equation into the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Step 3 ：Rearranging the equation, we get \(y = \frac{1}{8}x - 3\).
Step 4 ：From this, we can see that the slope of the line is \(\frac{1}{8}\) and the y-intercept is \(-3\).
Step 5 ：The y-intercept as an ordered pair would be \((0, -3)\).
Step 6 ：Final Answer: The slope of the line is \(\boxed{\frac{1}{8}}\) and the y-intercept is \(\boxed{(0, -3)}\).
