Answer:
yes, (1,6) is a solution to the inequality y<4x+2.
Step-by-step explanation:
Looking at the equation we can see that the slope is 4 and the y intercept is 2.
Now we will use the slope that is comprised of the rise over the run which is [tex]\frac{rise}{run}[/tex]
The slope is 4 this means that [tex]\frac{rise}{run}[/tex] = [tex]\frac{4}{1}[/tex] and this shows us that the rise is 4 and the run is 1, so starting at (0,2) you go up 4 and over 1 so our next coordinate would be (1,6)
so the answer is yes, (1,6) is a solution to the inequality y<4x+2.
Hope this helps!