Question

select the correct answer.

what are the attributes of the boundary line of this inequality?

(3x - 2y < 6)

• the line is solid with a y-intercept at ((0, 2)) and slope of (\frac{3}{2}).
• the line is solid with a y-intercept at ((0, -3)) and slope of (-\frac{3}{2}).
• the line is dashed with a y-intercept at ((0, -3)) and slope of (\frac{3}{2}).
• the line is dashed with a y-intercept at ((0, -3)) and slope of (-\frac{3}{2}).

Explanation:

Determine line style from inequality

Using the Boundary Lines knowledge point

$$
LATEXBLOCK0
$$

Convert to slope-intercept form

$$
LATEXBLOCK1
$$

Identify slope and y-intercept

$$
LATEXBLOCK2
$$

Match with options

$$
LATEXBLOCK3
$$

Answer:

• The line is solid with a y-intercept at (0, 2) and slope of \(\frac{3}{2}\).
• The line is solid with a y-intercept at (0, -3) and slope of -\(\frac{3}{2}\).
• The line is dashed with a y-intercept at (0, -2) and slope of \(\frac{3}{2}\).
• The line is dashed with a y-intercept at (0, -3) and slope of \(\frac{3}{2}\). (Correct answer)