Question

Line GH passes through points (2, 5) and (6, 9). Which equation represents line GH?

Answer 1

(2,5)(6,9)
slope = (9 - 5) / (6 - 2) = 4/4 = 1

y = mx + b
slope(m) = 1
use either of ur sets of points....(2,5)...x = 2 and y = 5
now we sub and find b, the y int
5 = 1(2) + b
5 = 2 + b
5 - 2 = b
3 = b

so ur equation is : y = x + 3

Answer 2

G ( 2, 5 );  H ( 6, 9 )
The equation is:  y = m x + b
The slope :  m = ( y2 - y1 ) / ( x2 - x1 ) = ( 9 - 5 ) / ( 6 - 2 ) = 4 / 4 = 1
5 = 1 * 2 + b
5 = 2 + b
b = 5 - 2 
b = 3
Answer:
y = x + 3