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AURORKA [14]
2 years ago
8

The slope of any line perpendicular to , where A(0, -3) and B(4, 9) are two points on the line, is m =

Mathematics
1 answer:
enyata [817]2 years ago
4 0

Answer:

m = -1/3

Step-by-step explanation:

The slope of the line can be calculated using the slope formula.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{9--3}{4-0} = \frac{12}{4} = 3

Since this is the line with points AB, the slope of any line perpendicular to it will be -1/3. All perpendicular lines cross at a 90 degree angle and as such their slopes are the negative reciprocals of each other. This means 3 becomes -1/3.

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See conversation in the attachment.

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