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

Can you please help me solve this practice problem I really need help-example-1
User Mark Meyer
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1 Answer

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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

Can you please help me solve this practice problem I really need help-example-1
Can you please help me solve this practice problem I really need help-example-2
User Alaa Othman
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