Q:

Which of the following are the correct properties of slope?Check all that apply. A.The slope of a line is always positive. B.If two lines have the same slope, then they are the same line. C.A steep line has negative slope. D.The slope of a line that moves up from left to right is positive. E.Some lines have an undefined slope.

Accepted Solution

A:
Using concepts for the equation of a line, the correct options are:D.The slope of a line that moves up from left to right is positive. E.Some lines have an undefined slope.-------------------------------The equation of a line is given by:[tex]y = mx + b[/tex]In which m is the slope and b is the y-intercept.Among the properties of the slope, there are:The slope is the rate of change, that is, how much y changes when x changes by 1.If the slope is positive, the line is increasing, that is, it moves up from left to right, otherwise it is decreasing, that is, it moves down from left to right.The higher the absolute value of the slope, the steeper the line is.Constant horizontal line has slope 0.Constant vertical line has slope undefined.If two lines are parallel, they have the same slope.If two lines are perpendicular, the multiplication of their slopes is -1.Thus, the correct options are:D.The slope of a line that moves up from left to right is positive. E.Some lines have an undefined slope.A similar problem is given at