1 Answer

Ptah · Answer 1 · 2021-09-07T05:06:26+0000

There are two approaches to this question.

Approach 1:

We can compute the slope of a line by calculating its mean variation, the rise over run. Mathematicaly:

$a=(\Delta y)/(\Delta x)$

The two points we have are
P1 = (1,3) and
P2 = (4,3) . Plugging the values into the expression we get

$a=(3-3)/(4-1) \\a=0$

Therefore, the slope of the line is zero.

Approach 2:

The slope of the line is given by the angle
$\alpha$ it makes with the X axis, in other words,

$a = tan(\alpha)$

Note that the angle the line makes is exaclty zero. Therefore:

$a= tan(0)\\a=0$

Again, we get that the slope of the line is zero.

In general, the slope of any horizontal line will always be zero.

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