Respuesta :

Answer:

a. 6

b. 12

c. [tex] y = 6x + 12 [/tex]

Step-by-step explanation:

a. Using two pairs of values given, (0, 12) and (1, 18)

Rate/slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{18 - 12}{1 - 0} = \frac{6}{1} = 6 [/tex]

Unit rate/slope (m) = 6

b. The starting value is the y-intercept (b). It is the value of of y when x = 0.

From the table, when x = 0, y = 12.

Therefore the starting value (b) would be 12.

c. The equation can be written in slope-intercept form, [tex] y = mx + b [/tex], where,

m = slope/rate = 6

b = starting value/intercept = 12.

Plug in the values into the equation

The equation would be:

✅[tex] y = 6x + 12 [/tex]