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

AlgebraLinear EquationsSlope-intercept formCoordinate Geometry
2025/3/6

1. Problem Description

The problem asks to find the slope and y-intercept of the given 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 y=mx+by = mx + b, we can identify the slope mm and the y-intercept bb.
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, which occurs when x=0x=0. The coordinates of the y-intercept are (0,b)(0, b). In this case, the y-intercept is (0,4)(0, -4).

3. Final Answer

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