The problem requires us to convert the given linear equation $5x - y = 8$ to slope-intercept form, and then identify the slope and y-intercept of the line.

1. Problem Description

The problem requires us to convert the given linear equation $5x - y = 8$ to slope-intercept form, and then identify the slope and y-intercept of the line.

2. Solution Steps

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

The slope-intercept form of a linear equation is given by:

$y = mx + b$

where $m$ is the slope and $b$ is the y-intercept.

Starting with the given equation:

$5x - y = 8$

Subtract $5x$ from both sides:

$-y = -5x + 8$

Multiply both sides by $-1$:

$y = 5x - 8$

Therefore, the equation in slope-intercept form is $y = 5x - 8$.

Step 2: Identify the slope.

Comparing the equation $y = 5x - 8$ to the slope-intercept form $y = mx + b$, we can see that the slope $m = 5$.

Step 3: Identify the y-intercept.

The y-intercept is the value of $y$ when $x = 0$. In the equation $y = 5x - 8$, the y-intercept $b = -8$. As an ordered pair, the y-intercept is $(0, -8)$.

3. Final Answer

Slope-intercept form: $y = 5x - 8$

Slope: $m = 5$

Y-intercept: $(0, -8)$