# Write an inequality for each graph

Its y-intercept is right there.

## Write an inequality that represents the graph calculator

Let me do that in a darker color. This pattern holds true for all inequalities—if they are multiplied by a negative number, the inequality flips. I know that, because they shaded in this whole area up here. That's the point 0, negative 2. For example, here is a problem where we can use the Subtraction Property to help us find a range of possible solutions: In 7 years, Ellie will be old enough to vote in an election. And let's think about its slope. You're always going to get or you should always get, the same slope. So that's what we have for the inequality.

If we move 2 in the x-direction, if delta x is equal to 2, if our change in x is positive 2, what is our change in y?

I just want to reinforce that it's not dependent on how far I move along in x or whether I go forward or backward. That's the equation of this line right there. Let's say x is equal to 1. This line will tell us-- well, let's take this point so we get to an integer. And let's think about its slope. So if I went back 4, if delta x was negative 4, if delta x is equal to negative 4, then delta y is equal to positive 2. This pattern holds true for all inequalities—if they are multiplied by a negative number, the inequality flips. You could have said, hey, what happens if I go back 4 in x?

### Write an inequality for each graph worksheet

Let me get rid of that 1. The Division Properties of Inequality work the same way. So that's what we have for the inequality. But this inequality isn't just y is equal to negative 3. I just want to reinforce that it's not dependent on how far I move along in x or whether I go forward or backward. Its y-intercept is right there. Let me do that in a darker color.

Our change in y is equal to negative 1. Its y-intercept is right there at y is equal to negative 2.

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How Do You Write an Inequality from a Number Line Graph?