Question

Please Help!! The graph of the line y = 4 is a A) vertical line with a slope of zero. B) horizontal line with a slope of zero. Eliminate C) vertical line with an undefined slope. D) horizontal line with an undefined slope.

Answer 1

The answer is D that a horizontal line with an undefined slope. This is because the coordinate is (0,4)

Answer 2

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, $m=\tan\theta$

Where,

$\theta$ = angle from the positive x-axis,

If m = 0, ⇒ $\tan \theta=0\implies \theta =0$

i.e. line is parallel to x-axis or a horizontal line,

if m = ∞ ⇒ $\tan \theta = \infty\implies \cos\theta = 0\implies \theta = 90^{\circ}$

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.