Help Line m passes through the points (6, 10 and (4, 6). Which equation represents a line that perpendicular to line m

y - 6 = (-1/2)(x - 4)

Step-by-step explanation:

As we go from (4, 6) to (6, 10), x (the run) increases by 2 and y (the rise) increases by 4.  Thus, the slope of the line connecting these two points is m = rise / run = 4/2 = 2.

The slope of a line perpendicular to this one is the negative reciprocal of 2, which is -1/2.

Using the point-slope formula, we get the following equation for the perpendicular line:

y - 6 = (-1/2)(x - 4)   (  obtained using the point (4, 6)  )

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step-by-step explanation:

step-by-step explanation:

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