Question

Write the equation of a line passing through the point (0,4) and parallel to x-axis.

Answer 1

The equation of a line passing through the point (0,4) and parallel to x-axis is y = 4.

As the line is parallel to the x-axis it will have slope equal to zero (m= 0).

On the line the value of the y- coordinate will always be constant and the x - coordinate will keep changing .

General Equation of a line is -

y-y1 = m(x-x1)

y1 = 4 , x1 = 0 and m = 0

=> y - 4 = 0 × (x-0)

=> y = 4

The equation of the line -

y = 4

Answer 2

Answer:

y=4

Step-by-step explanation:

General equation of line is y=mx+c where m is the slope

Slope of line parallel to x-axis is m=0

So y=(0)x+c⟹y=c

(0,4) lies on our required line y=c

⟹4=0(0)+c

⟹c=4

Equation of the line is y=4