Question

1. \\(x - 2y = 6\\)

Explanation:

Convert to slope-intercept form

Using the Standard Form to Slope-Intercept Form knowledge point

$$
LATEXBLOCK0
$$

Find the y-intercept

Using the y-intercept knowledge point

$$
LATEXBLOCK1
$$

Find the x-intercept

Using the x-intercept knowledge point

$$
LATEXBLOCK2
$$

Plot the linear equation

Using the Graphing Linear Equations knowledge point

$$
LATEXBLOCK3
$$

Answer:

The linear equation \(x - 2y = 6\) can be written in slope-intercept form as:

$$y = \frac{1}{2}x - 3$$

Key features for graphing:

• y-intercept: \((0, -3)\)
• x-intercept: \((6, 0)\)
• Slope: \(\frac{1}{2}\)