The problem requires us to convert the equation $6x - y = 4$ into slope-intercept form, identify the slope of the line, and find the y-intercept.

1. Problem Description

The problem requires us to convert the equation $6x - y = 4$ into slope-intercept form, identify the slope of the line, and find the y-intercept.

2. Solution Steps

Step 1: Convert the equation to slope-intercept form.

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Given equation: $6x - y = 4$

Subtract $6x$ from both sides: $-y = -6x + 4$

Multiply both sides by $-1$: $y = 6x - 4$

Step 2: Identify the slope of the line.

From the slope-intercept form $y = 6x - 4$, the slope $m$ is the coefficient of $x$, which is $6$.

Step 3: Find the y-intercept.

The y-intercept is the point where the line crosses the y-axis, which occurs when $x = 0$. From the slope-intercept form $y = 6x - 4$, the y-intercept $b$ is $-4$. Thus, the y-intercept as a coordinate pair is $(0, -4)$.

3. Final Answer

$y = 6x - 4$

$m = 6$

$(0, -4)$