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Answer:
y = -1/3x +4
Explanation:
The graph of the line has two points marked on it.
(x1, y1) = (-6, 6) . . . . . left point
(x2, y2) = (0, 4) . . . . right point, and y-intercept
The slope of the line is the ratio of the differences:
m = (y2 -y1)/(x2 -x1)
m = (4 -6)/(0 -(-6)) = -2/6 = -1/3
The y-intercept is the y-value where the line crosses the y-axis. Here, that y-value is 4.
In the slope-intercept form of the equation for the line, the slope is called m, and the y-intercept is called b. For this line, we have m=-1/3, b=4.
The equation is ...
y = mx +b
y = -1/3x +4 . . . . . the equation you're looking for