Which line has the same slope as the line passing through (-4,-1) and (-1,8)?

3

Step-by-step explanation:

The formula for slope is

y2-y1/x2-x1

In (-4,-1) -4 is x1 and -1 is y1

In (-1,8)?-1 is x2 and 8 is y2

8+1/-1+4

Which is 9/3

This can be simplified into 3

Thus the slope is 3

Hope this helps!

50

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