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What is the slope of a line that passes through the point (-1, 1) and is parallel to a line that passes through (4, 6) and (-1, -4)?

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First get the slope if the second Line by using the rule : (y2-y1)/(x2-x1) then use the result slope with the Point (-1,1) to get the equation of the first line using the same Law .
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First you must calculate the slope of the line passing through points (4,6) and (-1,-4) using the formula m=\[Deltay \div Deltax\]
since you found the slope value for one of the lines, and you know that both lines are parallel, you have the slope value for both lines.

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