Respuesta :

Answer:

1)positive slope

2) 6

3) w = 12t

4)[tex]slope = \frac{2}{-5}[/tex]

Step-by-step explanation:

1) The slope of line is given by tan(∅), Where ∅ is the angle of line with positive x axis. Here The value of ∅ is between 0 and 90 degrees, so tan(∅) is positive, which means slope is positive.

2) It is given that y=24 and x=4, inserting in the given equation, we get [tex]k = \frac{24}{4} = 6[/tex].

3) The earning rate is given by $12 per hour. If the  number of working hours are t, then the total earnings are [tex]w= (12)(t)[/tex].

4)The slope is given by , [tex]m = \frac{y2-y1}{x2-x1}[/tex], where (x1,y1) and (x2,y2) are endpoints. Thus, here above the slope is given by,

[tex]m = \frac{3-1}{1-6} = \frac{2}{-5}[/tex]