Write equation through given points

Question

(2/3,-1/5) and (1/4,7/10)

Answer 1

slope = (7/10 + 1/5) / (1/4 - 2/3)

= (7/10 + 2/10) / (3/12 - 8/12)

= 9/10 / -5/12

= -54/60 / 25/60

= - 54/25

y = -(54/25) x + b
7/10 = -(54/100) + b

b = 124/100
so
y = -(54/25) x + 31/25
25 y + 54 x = 31