Which of the following are the correct properties of slope  a. if two lines have the same slope, then they are the same line.  b. the slope of a line that moves up from left to right is positive.  c. a steep line has negative slope.  d. some lines have an undefined slope.  e. the slope of a line is always positive.

B.The slope of a line that moves up from left to right is positive.

Step-by-step explanation:

Slope is the ratio of vertical change to horizontal change. If a line moves up as x-values increase, then the signs of both changes are positive, and the slope is positive. This observation matches selection B.

Comments on other choices

If a line is vertical, it will exhibit a vertical change with no horizontal change. The denominator of the ratio for slope will be zero. Division by zero is undefined, so we say the slope of a vertical line is "undefined."

Lines with the same slope will be parallel, if they're not the same line.

A line that moves down to the right has a negative change in its vertical coordinate for a positive change in its horizontal coordinate. The ratio of changes will have a negative sign. So, the slope of a line that moves down to the right is negative, not positive.

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