What is the slope-intercept equation of this line?

a y=-2x+8

Step-by-step explanation:

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By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =

ΔY

ΔX

=

-2

1

=-2

θ =

arctan(ΔY) + 360°

ΔX

=296.56505117708°

ΔX = 6 – 0 = 6

ΔY = -4 – 8 = -12

Distance (d) = √ΔX2 + ΔY2 = √180 = 13.416407864999

Equation of the line:

y = -2x + 8

When x=0, y = 8

When y=0, x = 4

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+

25.45584

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation