Question

Can you please help me solve this practice problem I really need help

Answer 1

Question:

Solution:

Step 1: Find the equation of a line:

Notice that the line passes through the point (x2,y2)= (4,-2) and (x1,y1)=(0,3). Then, the slope of this line would be:

`m\text{ = }(Y2-Y1)/(X2-X1)=\text{ }(-2-3)/(4-0)\text{ = }(-5)/(4)\text{ =-}(5)/(4)`

now, notice that the y-intercept of this line is b=3. Then, the equation for this line is:

`y\text{ = -}(5)/(4)x+3`

Step 2:

note that the shaded region is all points on the line and those above it. So, the shaded region can be represented by the following inequality:

`y\text{ }\ge\text{ -}(5)/(4)x+3`

and it is shown graphically like this:

So that, we can conclude that the correct answer is:

`y\text{ }\ge\text{ -}(5)/(4)x+3`