Answer:
y < 4/3x - 2
Step-by-step explanation:
Another way to find slope is to subtract [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]. We are given two points. We can subtract the two y-values from each other for the numerator, then do the same for the x-values in the same order for the denominator.
We subtract the y-value 2 from -6.
2 - - 6 can also be taken as 2 + 6.
2 + 6 = 8.
Then, subtract the x-values.
Subtract 3 - -3, or 3 +3.
3 + 3 = 6.
Our slope, then, is [tex]\frac{8}{6}[/tex]. We can simplify this to [tex]\frac{4}{3}[/tex].
Now we can find our y-intercept. The line intersects with the y-axis at the point (0, -2)
The shading is on the left side and the line is dotted, so our sign is <.
The inequality is y < 4/3x -2.
