To determine the values requested, let's analyze the information step by step.
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Slope of the graphed line through points (0, 1) and (3, 0): The slope \( m \) can be calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, \((x_1, y_1) = (0, 1)\) and \((x_2, y_2) = (3, 0)\). \[ m = \frac{0 - 1}{3 - 0} = \frac{-1}{3} \] So, the slope of the graphed line is \(-\frac{1}{3}\).
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Y-Intercept of the graphed line: The y-intercept is the point where the line crosses the y-axis. From the point (0, 1), it's clear that the y-intercept is \(1\).
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Slope of the line given by the equation \(y = \frac{1}{2}x - 1\): In the equation \(y = mx + b\), \(m\) stands for the slope. Here, \(m = \frac{1}{2}\).
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Y-Intercept of the line given by the equation: In the equation \(y = \frac{1}{2}x - 1\), the y-intercept \(b\) is \(-1\).
Summary of Answers:
- Slope of the graphed line: \(-\frac{1}{3}\)
- Y-Intercept of the graphed line: \(1\)
- Slope of the line given by the equation: \(\frac{1}{2}\)
- Y-Intercept of the line given by the equation: \(-1\)
1 answer