Question

what is the equation of the line containing the given pair of points (1/4,1/2) and (3/4,2)

Answer 1

slope :

(2-1/2) / (3/4 - 1/4) = (1.5) / ( 0.5) = 3

line equation :
y = y1 + m(x-x1)

y = 2+ 3(x-(3/4))
y = 2 + 3x - 9/4
y = -0.25 + 3x