Question

Can someone help me please

Answer 1

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:

$a=\frac{\Delta y}{\Delta x}$

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

$a=\frac{3-3}{4-1} \\a=0$

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.