Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The equation for slope is rise over run, or [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1} }[/tex].
So, if we plug in the points from our line to the above equation, we should be able to calculate the slope.
Our first ordered pair is (3, 5), and our second ordered pair is (0, 3).
3 minus 5 equals -2, and 0 minus 3 equals -3.
That leaves us with [tex]\frac{-2}{-3}[/tex].
If we simplify this fraction, we will get [tex]\frac{2}{3}[/tex], as dividing two negative numbers gets us a positive quotient.
So, our final answer is [tex]\frac{2}{3}[/tex].
