The problem asks us to find the slope and y-intercept of the given linear equation $y = \frac{7}{8}x - 2$. We need to express the y-intercept as an ordered pair.

AlgebraLinear EquationsSlope-intercept formSlopeY-intercept
2025/3/6

1. Problem Description

The problem asks us to find the slope and y-intercept of the given linear equation y=78x2y = \frac{7}{8}x - 2. We need to express the y-intercept as an ordered pair.

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.
By comparing the given equation y=78x2y = \frac{7}{8}x - 2 with the slope-intercept form y=mx+by = mx + b, we can identify the slope and y-intercept.
The slope is m=78m = \frac{7}{8}.
The y-intercept is b=2b = -2. The y-intercept is the point where the line intersects the y-axis, which occurs when x=0x = 0. So the coordinates of the y-intercept are (0,2)(0, -2).

3. Final Answer

(0, -2)

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