Question

To which graph does the point (-1, -4) belong?

Answer 1

Here Cameron has graphed the given point, using an online graphing utility, and the graph is correct, as far as it goes. The question posted by Chariety asks "to which graph does the point (-1,-4) belong, which implies that there were four possible answer choices that came with this problem. Chariety, if this is the case, please post those four answer choices and then try on your own to determine which one contains the point (-1,-4).

Answer 2

A) y < -x + 4
B) y < -x - 5
C) y < 2x - 3
D) y < 5x + 1

Answer 3

In this case you have several choices of approach. One would be to graph all four of these possible answers (including shading the half of the graph BELOW the given dashed line.

If the point (-1,-4) is within the shaded area (and NOT on the line), then you've fond the correct inequality. Otherwise, discard that possible answer choice.

Example: to graph y<-x+4, replace the ' < ' sign with the ' = ' sign, because this gives you a more familiar form. In this case, you have y = -x + 4, which is a straight line with slope m=-1 and y-intercept 4. Draw this line, and then (because of that ' < ') shade the area BELOW the line (which should be a dashed or dotted line, not a sold line).


OR


You could put all that aside and just test by substitution.

Answer 4

Example: Test (-1,-4) in the inequality y<-x+4. Let x=-1 and y=-4 in this inequality.
Is the inequality now true or false?

You will then know immediately whether A is the right answer or not.

Answer 5

yes thank you