Answer:
3y = x + 12
Explanation:
First find the slope of
(x1,y1) and (x2,y2)
Slope m= ( y2 - y1) ÷ (x2 - x1)
= (7-5) ÷ (9-3)
= 2 ÷ 6
= 1/3
The equation of the line containing the pair (x,y) is
y = mx + b
5 = (1÷3) × 3 + b
= 1 + b
Therefore b = 5-1 = 4
Hence the equation of the line containing the given pair if points (3,5) and (9,7) is
Y=(1÷3) × x + 4
Y = (x÷3) +4
Y =( x + 12) ÷ 3
3y = x + 12