The equation of line is y+4 = 1/2*(x+4).
The point-slope form of a line with slope 'm' and passing through a point (a, b) is given by (y-b)= m(x-a)
Given:
As, the points (4, 0) and (-4, -4) are two points on the straight line.
slope of line= -4-0/ -4-4
m= 1/2
Now, line passes through the point (-4, -4), equation of the line is
y-(-4) = m(x-(-4))
y+4 = 1/2*(x+4)
Hence, required point-slope form of the graphed line is y+4 = 1/2*(x+4)
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