A line contains the points (6, 8) and (1,-2). What is the slope of the line in simplified form?

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The slope of the line is two.

Step-by-step explanation:

Recall that to find the slope between any two points, we can use the slope formula:

Let (6, 8) be our (x₁, y₁) and let (1, -2) be our (x₂, y₂). Substitution yields:

Subtract:

Divide:

Therefore, the slope of the line is two.

where are the options?

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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