Determine the slope of a parallel to the folling line 9x + 7y = 10

Recall that the slope formula is y=mx+b (m is the slope)

You need to first get y by itself, to do that you subtract 9x on both sides of the equation

9x+7y=10         subtract 9x to the left side where it will cancel it because you're adding a positive to a negative number that are the same, then you subtract 9x to the right side of the equation

when you do that you should get: 7y= -9x+10

Now you divide 7 on both sides

you then should get: y= -9/7x-10/7

anser is a

step-by-step explanation:

negitive slope

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