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Write the equation of this line in slope-intercept form. Write your answer using integers, proper...

Write the equation of this line in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

From the graph, the line passes through the points (-8, 4) and (4, -2).

  1. Calculate the slope (m):

m = (y2 - y1) / (x2 - x1) = (-2 - 4) / (4 + 8) = -6 / 12 = -1/2

  1. Identify the y-intercept (b):

From the graph, the y-intercept is 2.

Therefore, the equation of the line is y = -1/2x + 2.

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