3. What is the slope of the following line? у
5
4
3
2
1
-54 -3 -2 -1
1
2 3
4
5 X
-2
-3
-4
-5
3
O
3

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

answer: 3.26019516

step-by-step explanation:

-1/4 > -1 2/3. -1/4 is greater than -1 2/3 because it is closer to 0 on the number line.