Final answer:
The equation of a line parallel to y = -20x + 1 and passing through (1, 1) is y = -20x + 21, with the same slope of -20.
Step-by-step explanation:
To find the slope-intercept form equation of a line that is parallel to another and passes through a given point, we use the fact that parallel lines have the same slope. The given line y = -20 + 1 has some confusion due to an apparent typo; it may represent y = -20x + 1, which would indicate a slope of -20. Assuming m = -20 is our slope, we can apply it to the slope-intercept form y = mx + b.
Since we want the equation to pass through the point (1, 1), we substitute these values into the equation y = -20x + b and solve for b:
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- 1 = -20(1) + b
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- 1 = -20 + b
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- b = 1 + 20
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- b = 21
Therefore, the equation of the line that is parallel to y = -20x + 1 and passes through (1, 1) is y = -20x + 21.