Question

Which equation represents the line that passes through (–8, 11) and (4,7/2 )? y =-5/8 x + 6 y = -5/8x + 16 y = -15/2x – 49 y = -15/2x + 71

Answer 1

(-8,11)(4,7/2)
slope(m) = (7/2 - 11) / (4 - (-8) = (7/2 - 22/2) / (4 + 8) = (-15/2) / 12 = -15/2 * 1/12 = -15/24 = -5/8

y = mx + b
slope(m) = -5/8
use either of ur points...(-8,11)...x = -8 and y = 11
now we sub and find b, the y int
11 = -5/8(-8) + b
11 = 5 + b
11 - 5 = b
6 = b

so ur equation is : y = -5/8x + 6