Respuesta :
The answer is D that a horizontal line with an undefined slope. This is because the coordinate is (0,4)
Answer:
B) horizontal line with a slope of zero.
Step-by-step explanation:
∵ The equation of the type y = mx + c is always a straight line having the slope m,
Also, [tex]m=\tan\theta[/tex]
Where,
[tex]\theta[/tex] = angle from the positive x-axis,
If m = 0, ⇒ [tex]\tan \theta=0\implies \theta =0[/tex]
i.e. line is parallel to x-axis or a horizontal line,
if m = ∞ ⇒ [tex]\tan \theta = \infty\implies \cos\theta = 0\implies \theta = 90^{\circ}[/tex]
i.e. line is perpendicular to x-axis or vertical,
Here, the given line,
y = 4,
⇒ y = 0x + 4
By comparing,
m = 0,
⇒ It is a horizontal line with a slope of zero.
Hence, OPTION B is correct.
