Graph two more functions in the same family for witch the parameter being changed is the y-intercept, b

The equation of line having slope m and y-intercept b is

y = m x + b

The other two equations of line in the same family having intercepts p and q are, keeping the slope same i. e m, described in the question are

→ y = m x + p

→ y = m x + q

As both the equation have same slope i. e m, so lines will be parallel, but their Y - intercept are different i. e distance from the origin where it cuts the y-axis are different i. e at a distance of p and q from origin.