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The equation y = x - 7 represents a line perpendicular to the given line

Step-by-step explanation:

The product of the slopes of the perpendicular lines is -1, which means if the slope of one line is m, then the slope of the perpendicular line to it is (negative reciprocal)

Let us solve the question

∵ The equation of the given line is 7x - 8y = 16

∴ a = 7 and b = -8

→ Use the rule above to find the slope of it

∵ The slope of the given line =

∴ The slope of the given line =

To find the slope of the perpendicular line to it reciprocal the fraction and change its sign

∴ The slope of the perpendicular line =

→ Look at the answer to find the equation which has this slope

∴ The equation of the perpendicular line is y = x - 7

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step-by-step explanation:

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step-by-step explanation: