Question

Choose the equation of the horizontal line that passes through the point (2, 4). y = 2 x = 2 y = 4 x = 4

Answer 1

Answer:

Option C) $y=4$

Step-by-step explanation:

We are given the following information in the question:

We have to find the equation of a horizontal line passing through the point (2,4).

Since the line is horizontal, thus it is parallel to x-axis and will have  a slope equal to the x-axis.

Thus,

Slope of line = Slope of x-axis = 0

Equation of line can be found with the help of point slope form that is:

$(y-y_1) = m(x-x_1)\\\text{where m is the sklope of the line and the line passes through the point }(x_1,y_1)$

Putting the values, we get:

$y - 4 = 0(x - 2)\\y-4 = 0\\y = 4$

is the required equation of the line.

Answer 2

Answer:

y = 4

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

Where c is the value of the y- coordinates the line passes through.

The line passes through (2, 4) with a y- coordinate of 4, thus

Equation of horizontal line is y = 4