Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2?

Graph 4

Step-by-step explanation:

When being asked problems like this one, even before working out any specifics, looking at the direction the line is moving in, you can at least eliminate some answers. When a graph has a negative slope, it will be decreasing as it moves to the right on the x-axis (its direction will look somewhat like a \, but not always this steep). Only two answers to this question have these properties, Graph 3 and Graph 4. Because of this trick, we're able to eliminate Graph 1 and Graph 2 as possible answers to this question, but how do we decide between Graph 3 and Graph 4? This is where knowledge on Linear Equations come into play.

Looking at the two remaining graphs and using our knowledge on , we can see that Graph 3 hits the y-axis above and Graph 4 hits the y-axis below . If this problem is asking for the graph to have the same y-intercept as , then with being , we can figure that the function we want to make will have to hit the y-axis at , below . Only Graph 4 has these properties, so it is the answer.

the answer is a

step-by-step explanation:

because your just changing the position of where the shape is