Answer:
[tex] y = 6x + 2 [/tex]
Step-by-step explanation:
To write a linear function to represent the situation in the form of y = mx + b, we need to find,
m = slope of the graph
b = y-intercept or starting value
✔️Finding slope (m) using two points on the line, (0, 2) and (1, 8):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 2}{1 - 0} = \frac{6}{1} = 6 [/tex]
y-intercept (b) = 2 (i.e the value of y when x = 0, which is the starting value oflr the point where the line intercepts the y-axis)
Substitute m = 6, and b = 2 in [tex] y = mx + b [/tex]
[tex] y = 6x + 2 [/tex]
