Am I correct?

For (1), the slope is \(\frac{3}{2}\).

 

Therefore, our answer would be something in the form of: \(y = \frac{3}{2}x + b\).

 

Converting this to standard form, we get \(-\frac{3}{2}x + y - b > 0\), which is \(-3x + 2y - 2b >0\).

 

Now the \(y\) intercept is found by plugging in a coordinate into the equation.

 

Solving this, we get the y-intercept to be 7.

 

So your answer for (1) would be correct.

(2) looks good, except for the fact that the inequality sign must be a "less than or equal to".

 

(If you meant to type that)

You can do this next time, using:

 

\leq

 

in LaTeX. (\(\leq\))