Question

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Answer 1

`y = 6x + 2`

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):

`slope (m) = (y_2 - y_1)/(x_2 - x_1) = (8 - 2)/(1 - 0) = (6)/(1) = 6`

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
`y = mx + b`

`y = 6x + 2`