Graph these three equations using a graphing calculator y1=3x+1 y2=3x+2 y3=3x+4 part a: how are any of the two lines u graphed related to each other?

part b: does your answer for part a hold for any two lines?

part c: write another set of three or more equations that have the same relationship as the first three?​

c

c

c

c

c

c

c

cc

c

step-by-step explanation:

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