Graph the inequality

Question

4x+y≤-5

What are the points that intersect?

Answer 1

Dear Bryan,

    I believe that you are looking for the X and Y-intercepts.   When X=0, what is Y?  Go to 2nd Calculate, which is the 4th function.    Then press Intercept, #5.  You will see the answer.  You can also go to 2nd GRAPH, which is the last upper function.  Look for where X=0,  what is the Y-intercept?  The X-intercept is where Y=0.     It might be more accurate to solve here for the X-intercept.

 

                                   y≤-4X-5    Substitute 0=Y, and add 5 to both sides of inequality.

 

                                   5≤-4X     You need to divide both sides of inequality by -4; however, when you divide an inequality by a negative, you need to change the inequality sign.  In this case it would be, ≥. a greater than or equal sign.   I will let you finish this problem.  Let me know if there are problems.  Please give me a thumbs up if I have helped you.

                                                Susan C.