Which is the slope-intercept form of the equation for the line that passes through the points (2,5) and (4, 13)?

y=4x-3

Step-by-step explanation:

Find the slope for your equation by calculating the change in y over change in x ∆y/∆x or (y2-y1)/(x2-x1)

13-5=8

4-2=2

8/2=4

We now need to use one of these coordinates to finish the equation y=4x+b

5=4(2)+b

5=8+b

b=-3

Now we rewrite our equation in slope int form as y=4x-3

You can check your work by using the other coordinate (4, 13) and see the equation balances.

geometry: triangles

solvers

lessons

answers archive

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+

25.45584

step-by-step explanation:

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