Question

Which line on the xy-plane has a positive slope?

Answer 1

Line 2 has a positive slope with respect to the angle made with the x-axis.

What is the slope?

Slope refers to the tan of the angle with the x-axis. For example. if the line makes an angle β with the x-axis, then the slope is the tan β.

Now taking line 1,

The line is parallel to the x-axis, therefore the line makes 0 angles with the axis which gives slope 0.

Now taking line 2,

The line passes to the origin and has the equation x=y, thus the slope is 1

Now taking line 3,

The line is parallel to the y-axis, therefore the line makes 90°, thus the slope is 1/0 which gives infinity.

Now taking line 4,

The line is making an angle of 60°, therefore the line is having a slope:       - $\sqrt{3}$

Hence considering the above values, line 2 has a positive slope only.

To know more about slopes, visit:

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