What is the equation in slope-intercept form of the line that passes through the points (−4, 2) and (12, 6)?

y= 1/4x + 3

use the formula y2-y1/x2-x1

Step-by-step explanation:

d

step-by-step explanation:

d

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