What is the equation in point-slope form of a line that passes through the point (−8, 2) and has a slope of 1/2? drag a number, symbol, or variable to each box to write a point-slope equation for this line.

Step-by-step explanation:

We are given,

The straight line has slope and passes through point (-8,2).

The point-slope form is given by , where m is the slope.

Substituting the values in the above form, we get,

i.e. .

Hence, the point-slope form is .

a

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