Answer :

Final answer:

The function graphed on the coordinate planes, g(x)=[x+1]+3, would be equivalent to y = 3x + 9 based on the provided graph details. The slope (rise / run) is 3 and the y-intercept is 9.

Explanation:

The function graphed on the coordinate planes, g(x)=[x+1]+3, follows the slope-intercept form of the equation of a line, y = mx + b, where m represents the slope and b represents the y-intercept. However, it seems there was a little confusion in the question. The equivalent line, according to the provided graph details, would be y=3x+9. In this equation, our slope (m) is 3 (indicating a rise of 3 on the vertical axis for every increase of 1 on the horizontal axis), and our y-intercept (b) is 9 (which is where the line intersects with the y-axis). Hence, the line graphed on these planes are dictated by these values and represented by the formula y = 3x +9.

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