Question 516625
slope = change in y / change in x
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slope = (y -y<sub>1</sub>) / (x -x<sub>1</sub>)
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(x, y) = (0,1)
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(x<sub>1</sub>, y<sub>1</sub>) = (-6,3)
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slope = (1-3) / (0-(-6))
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slope = -2/6 = -1/3
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The slope-intercept form is:
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y = -1/3x + b
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Use one of the points to find 'b'.  
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1 = 0x + b
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b = 1
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y = -1/3x + 1 is the equation of the line that goes through (0,1) and (-6,3).
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{{{ 
graph(500,500,-5,5,-5,5,-1/3*x+1),
}}}