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CCSS.Math:

graph a line that has a slope that is negative and greater than the slope of the blue line so let's think for a second about what slope means so if you use the word slope in your everyday life you're really talking about how inclined something is like a ski slope so for example this orange line isn't inclined at all it's flat so this one actually has a slope of 0 another way of thinking about it is as x increases what is happening to Y and you see here that Y isn't changing at all so this orange line right now has a slope of 0 if the orange line looked like this it now has a positive slope notice when X is negative your Y value or say when X is negative 5 your Y value is here and then when X is positive 5 your Y value has increased as x increases Y is increasing so this has a positive slope this has an even more positive slope and even more positive slope this has an even more positive slope as X is increasing the Y values increasing really fast this line is going up really fast as we move towards the right so it's a very positive slope this is less positive less positive this is a 0 this is a 0 slope and then this is a negative slope notice as X is increasing the line is going down your Y value is decreasing when X is when X is negative 5 your Y is 7 while when X is 5 your Y is 5 so X has increased but Y has gone down so this is a negative slope so they say graph a line that has a slope that is negative and greater than the slope of the blue line so the blue line also has a negative slope as X is increasing your blue line is going down it went over here when X has negative values your Y value is quite high and here when X has positive values your Y value has gone all the way down so this has a negative slope but we want to have a slope greater than this one so we still want to have a they say graph a line that has a slope that is negative so my orange line currently has a negative slope and greater than the slope of the blue line so it has a negative slope but it is less negative than the blue line right over here if I wanted to be more negative than the blue line I'd have to do something like that but I want to be negative and like but less negative than the blue line so that would be like that if we wanted a zero slope once again something like this if we wanted a positive slope something like this so once again negative slope less negative then the blue line check our answer