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.
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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 https://brainly.com/question/8138633
