Answer:
m = 0
Step-by-step explanation:
If two lines are parallel, their slopes are equal.
The slope of x - axis is 0
(why?)
because, slope of a line is given by
[tex]\boxed{\mathsf{slope\:of\:a\:line=tan \theta}}[/tex]
Θ is the angle made by the line with the x- axis.
Here, the line in question is the x- axis itself, and every line makes an angle of 0° with itself.
=> Θ = 0
=> tan Θ = 0
=> slope = 0
and the line in blue is parallel to the X- axis, therefore, it's slope is also 0
(also, a line makes an angle of 0° with the line it's parallel to)
[tex]\mathfrak{\overline{There\:You\:Are!}}[/tex]
