Given a slope of 2 and a point on the line (1,5), find the y-intercept (b) and write the equation in slope intercepts form (y = mx + b).
A.) y = 2x + 5
B.) y = 2x + 1
C.) y = 2x + 3
D.) y = 2x + 4

C.) y=2x+3

Step-by-step explanation:

m=2 (given) or 2/1 to illistrate the point

take the slope from (1, 5) and down 2 and left 1 which will take you to the y-axis and 3

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