What is the equation of the line shown in this graph?

(-2,-3) (3,-3)

1 answer

The equation of a line can be determined using the slope-intercept form, which is given by y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Using the given points (-2,-3) and (3,-3), the slope is:
m = (-3 - (-3)) / (3 - (-2)) = 0 / 5 = 0

Since the y-coordinate remains constant for all points on the line, the equation will be y = -3.

Therefore, the equation of the line shown in the graph is y = -3.
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