Question

Which equation in slope-intercept form represents the line that passes through (5,11) and (-4,7)

Answer 1

Change in y / change in x
11 - 7 / 5 - - 4 = 4/9x

y = 4/9x + c

11 = 0.444444444*5 + c
11- 2.222222
8.8888

so it's y = 4/9x + 8.8 (recurring)

Answer 2

(5,11)(-4,7)
slope = (7 - 11) / (-4 - 5) = -4/-9 = 4/9

y = mx + b
slope(m) = 4/9
use either of ur points (5,11)...x = 5 and y = 11
now sub and find b, the y int
11 = 4/9(5) + b
11 = 20/9 + b
11 - 20/9 = b
99/9 - 20/9 = b
79/9 = b

so ur equation is : y = 4/9x + 79/9