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irakobra [83]
3 years ago
13

Given the slope of the line containing the points (7 , b) and (-2 , 5) is 4/9, find the value of b​

Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0

Answer: b=9

Step-by-step explanation: To find the slope we use: y2-y1/x2-x1

Which would then be: 5-b/-2-7= 5-b/-9

Then we have to find a number for b that would give us -4 as the numerator. That number would be 9

This would give us 4/9 which is the slope we already had.

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Formula for distance between two points:

d  = √((x₂-x₁)² + (y₂-y₁)²)

Let point 1 be (-3, 11) and point 2 be (5, 5)

Therefore x₁ = -3, y₁ = 11, x₂ =5, y₂ = 5, and substituting in the formula above.

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   = √((5+3)² + (5-11)²)

   = √((8)² + (-6)²)          8² = 8*8 = 64, (-6)² = -6*-6 = 36

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  = 10

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