Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
For this, we shall use the slope formula:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] ← this is [tex]\frac{rise}{run}[/tex]
Assuming this is a line, all we do is pick two consecutive points and plug them in. For example, let's take the first two points. (1, -4) and (7, 5) as they are the easiest to work with.
Let's plug in these two values:
[tex]\frac{5 - (-4)}{7 - 1}[/tex]
Simplified we get:
[tex]\frac{9}{6}[/tex]
We are now able to factor 3 out of the numerator and denominator:
[tex]\frac{3}{2}[/tex]
Thus resulting in the slope.
