Find the slope of the line that contains the following pair of points (1,6) and (9,-4)

-1.25

Step-by-step explanation:

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate

Slope of line

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

1.30

step-by-step explanation: