Question

I need help asap!!! I will without hesitation give brainliest to whomever gets this

Answer 1

Answer:

A. $y\leq \frac{1}{2}x+2$

Step-by-step explanation:

First, let's find the slope of the line, so we can eliminate some answers.

From point (0,2) we can go up 1 and over to the right 2 to the point of (2,3). Slope is rise over run so 1 over 2.

This eliminates C and D.

The last part is to recognize that y being less than the equation will result in the shaded region being below the line. If y was greater than the equation then the shaded region would be above the line.

Therefore, the correct answer would be A. $y\leq \frac{1}{2}x+2$.

Hope this helps! If you have questions about my work please let me know down in the comments!

Answer 2

Answer:

$y\leq \frac{1}{2}x+2$

Step-by-step explanation:

The first part of finding our answer is finding the slope of the line. The image attached shows this.

$\frac{rise}{run} = \boxed{\frac{1}{2}}$

This means the slope is $\frac{1}{2}$, removing the bottom 2 answer choices.

Now we have to choose between the $\leq$ and $\geq$ sign. Since the shaded area is below the line, it will be the $\leq$. (If it was the $\geq$ sign, the shaded area would be above the line.) This marks the first answer as the correct answer.