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Math Asked by a SnapAndSolve user · about 2 hours ago

Line p passes through the points (-2, 2) and (7, -2). What is the equation of the line that is...

1. Line p passes through the points (-2, 2) and (7, -2).
What is the equation of the line that is perpendicular to line p and passes through the origin?

Answer

To find the equation of the line perpendicular to line p, we first need to determine the slope of line p. The slope (m) is calculated as follows:

m = (y2 - y1) / (x2 - x1) = (-2 - 2) / (7 - (-2)) = -4 / 9

The slope of the line perpendicular to line p is the negative reciprocal of -4/9, which is 9/4.

Since the line passes through the origin, its equation is:

y = (9/4)x

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