The problem asks us to find the slope and the y-intercept of the given linear equation $y = \frac{1}{2}x - 4$.

AlgebraLinear EquationsSlope-intercept form
2025/3/6

1. Problem Description

The problem asks us to find the slope and the y-intercept of the given linear equation y=12x4y = \frac{1}{2}x - 4.

2. Solution Steps

The given equation is in the slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept. Comparing the given equation y=12x4y = \frac{1}{2}x - 4 with the slope-intercept form, we can identify the slope and the y-intercept.
The slope mm is the coefficient of xx, which is 12\frac{1}{2}.
The y-intercept is the constant term bb, which is 4-4. The y-intercept is the point where the line crosses the y-axis, so the coordinates are (0,4)(0, -4).

3. Final Answer

Slope = 12\frac{1}{2}
y-intercept = (0,4)(0, -4)

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