Find an equation for the line that passes through the points (-1,2) and (5,5)

y = 1/2x +5/2

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

   = (5-2)/(5- -1)

   = (5-2)/(5+1)

   = 3/6

 1/2

We have the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = 1/2 x+b

Substitute a point into the equation

2 = 1/2 (-1) +b

2 = -1/2 +b

add 1/2 to each side

4/2 + 1/2 = b

5/2 = b

y = 1/2x +5/2

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d