The problem asks us to convert the given equation $6x - y = 4$ to slope-intercept form, and then identify the slope of the line.

AlgebraLinear EquationsSlope-intercept form
2025/3/6

1. Problem Description

The problem asks us to convert the given equation 6xy=46x - y = 4 to slope-intercept form, and then identify the slope of the line.

2. Solution Steps

First, we need to convert the equation 6xy=46x - y = 4 to slope-intercept form, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.
6xy=46x - y = 4
Subtract 6x6x from both sides:
y=6x+4-y = -6x + 4
Multiply both sides by 1-1:
y=6x4y = 6x - 4
Now, we have the equation in slope-intercept form: y=6x4y = 6x - 4.
The slope is the coefficient of xx, which is 66.

3. Final Answer

66

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