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.

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:

In which m is the slope and b is the y-intercept.

Among the properties of the slope, there are:

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 link

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.