What is the slope of the line that contains the points (-2,5) and (6-3)

m = -1

Step-by-step explanation: In this problem we're asked to find the slope of the line that contains the points (-2,5) and (6,-3).

Using our slope formula, we take the second y minus the first y which in this case is -3 - 5 over our second x minus our first x which in this case is 6 - -2.

-3 - 5 simplifies to -8 and remember that minus a negative can be thought of as plus a positive so 6 - (-2) can be thought of as 6 + (+2) which is 8.

Now we have -8/8. Notice that our slope can be simplified one step further so we have m = -1.

The variable that's used to represent slope is m.

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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