WILL MARK BRAINLIEST IF CORRECT The graph shows a line and two similar triangles.

On a coordinate plane, a line goes through (0, 2) and (6, 4). A small triangle has a rise of 1 and run of 3 and a larger triangle has a rise of 2 and run of 6.

What is the equation of the line?
y = 3 x
y = one-third x
y = one-third x + 2
y = 3 x + 2

y = one-third x

Step-by-step explanation:

B

Step-by-step explanation:

step-by-step explanation:

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4