what value of b will make the system y = 5x + 6
and y = 1.5x + b intersect at the point (0, 6)?
It's a trick question. (0, 6) is a point on the y-axis
6 units above the x-axis. By difinition, that is the
y-intercept. The first equation shows that. The 6 is
the y-intercept. The second equation has to have
the same y-intercept, which means b = 6.