Question

graph the equation using the slope and the y-intercept.

(x + 2y = 6)

use the graphing tool on the right to graph the line. use the slope and y-intercept when drawing the line.

Explanation:

Convert the equation to slope-intercept form

$$
LATEXBLOCK0
$$

Identify the slope and y-intercept

$$
LATEXBLOCK1
$$

Determine a second point on the line

$$
LATEXBLOCK2
$$

Answer:

To graph the equation \(x + 2y = 6\), rewrite it in slope-intercept form:

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

• y-intercept: \((0, 3)\)
• Slope: \(-\frac{1}{2}\) (from \((0,3)\), move down 1 unit and right 2 units to plot a second point at \((2, 2)\), or right 6 units to plot the x-intercept at \((6, 0)\))