Given the two points $(−24, 7)$ and $(30, 25)$:   

1. Write the equation of the line passing through the points.

   Step 1(a):

   Find the slope between the two points $m=\frac{\triangle y}{\triangle x}$

   Step 2(a):

   Use the slope-intercept form ($y = mx + b$). Substitute the slope ($m$), and one point $(−24, 7)$ or $(30, 25)$ for $x$ and $y$ to solve for $b$.

   Answer (a):

   $y=\frac{1}{3}x+15$

2. Is $(51, 33)$ also on the same line? Explain your reasoning.