Answer :
Final answer:
To find the slope of a line perpendicular to a given line, find the negative reciprocal of the slope of the given line.
Explanation:
In order to determine the slope of a line that is perpendicular to another line, we need to find the negative reciprocal of the slope of the given line.
The given line is -10x + 2y = 7. In order to find the slope, we need to rewrite the equation in slope-intercept form, y = mx + b, where m represents the slope. By rearranging the equation, we get 2y = 10x + 7 and dividing both sides by 2, we get y = 5x + 7/2.
Therefore, the slope of the given line is 5. The slope of the line perpendicular to it would be the negative reciprocal of 5, which is -1/5.
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