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nekit [7.7K]
3 years ago
8

What is the equation of the line that passes through (5, -2) and (-3, 4)?

Mathematics
2 answers:
vlada-n [284]3 years ago
7 0
First figure out the slope, the equation is Y2-Y1/ X2-X1.. m=-3/4 So far your equation is y=-3/4x + b. b is the y intercept. Plug in either points in the equation to have so far.. you will receive 7/4. The equation is y=-3/4 + 7/4
MatroZZZ [7]3 years ago
4 0

Answer: 4y=-3x-7

Step-by-step explanation:

The equation of a line passing through (a,b) and (c,d) is given by :-

(y-b)=\dfrac{d-b}{c-a}(x-a)

The equation of a line passing through (5, -2) and (-3, 4) is given by :-

(y-(-2))=\dfrac{4-(-2)}{-3-5}(x-5)\\\\\Rightarrow\ y+2=\dfrac{6}{-8}(x-5)\\\\\Rightarrow\ y+2=\dfrac{-3}{4}(x-5)\\\\\Rightarrow\ 4(y+2)=-3(x-5)\\\\\Rightarrow\ 4y+8=-3x+15\\\\\Rightarrow\ 4y=-3x-7

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Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

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Option B: The height of the cylinder is two times the diameter of the sphere.

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Option C: The radius of the sphere is half the height of the cylinder.

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Substitute d = 2r, we get

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Option E: The volume of the sphere is two-thirds the volume of the cylinder.

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