The problem asks to find the slope and y-intercept of the given equation $y = \frac{7}{8}x - 2$.

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

1. Problem Description

The problem asks to find the slope and y-intercept of the given equation y=78x2y = \frac{7}{8}x - 2.

2. Solution Steps

The equation is in slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
Comparing y=78x2y = \frac{7}{8}x - 2 with y=mx+by = mx + b, we can identify:
m=78m = \frac{7}{8}
b=2b = -2
Therefore, the slope is 78\frac{7}{8} and the y-intercept is 2-2. The y-intercept is the point where the line crosses the y-axis, which occurs when x=0x=0. Thus, the y-intercept as an ordered pair is (0,2)(0, -2).

3. Final Answer

Slope = 78\frac{7}{8}
Y-intercept = (0,2)(0, -2)

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