Question

Find the direct variation equation which passes through (0, 0) and (4, 1).

Answer 1

We are really finding the equation of the line between these points in y=mx+b form

slope, or m = (1-0)/(4-0) or 1.4
to find b,
y = mx + b
0 = 0*1/4 + b
0 = b
plug these values back in
y=mx + b
y = 1/4 x + 0
y = 1/4 x