HW: Finding Equation of Line 1) Find the equation of a line that has a slope of 4 and passes through the point (6, -12)
Standard form:

y=4x-36

Step-by-step explanation:

y-(-12)=4(x-6)

y+12=4x-24

y=4x-24-12

y=4x-36

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