Using linear function concepts, it is found that the correct option is:
B. l, ll and lll only
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
If the slope is positive.
- The function goes through quadrants I and III.
- If the intercept is positive, it also goes through quadrant II.
- If the intercept is negative, it also goes through quadrant IV.
If the slope is negative:
- The function goes through quadrants II and IV.
- If the intercept is positive, it also goes through quadrant I.
- If the intercept is negative, it also goes through quadrant III.
In this problem, the equation is:
[tex]6x - 3y = - 9[/tex]
Placing it into the standard format:
[tex]3y = 6x + 9[/tex]
[tex]y = \frac{6}{3}x + \frac{9}{3}[/tex]
[tex]y = 2x + 3[/tex]
Both slope and intercept are positive, hence, quadrants I, II and III, option B.
You can learn more about linear functions at https://brainly.com/question/16302622
