Ok, the point (0, 2) tells is us that the y-intercept is 2.
Now, lets plug the points into the slope formula to find the slope:
[tex] \frac{2 - 2}{0 - ( - 3)} = \frac{0}{0 + 3} = \frac{0}{3} [/tex]
Zero over (divided by) anything is zero. Therefore, our slope is zero, and our equation is:
[tex]y = 0x + 2[/tex]
which can be simplified to:
[tex]y = 2[/tex]
Which is a horizontal line at y=2
