The equation of the line will be y=Ax+B where we have to identify the constants A and B. Since the slope will be 1/4 we must have A=1/4. Since we need the line to pass through the point (-8,6) we have 6=(1/4)(-8)+B which is the same as 6=-2+B or B=8. Thus, y=(1/4)x+8.
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