Question

What is the equation of the line shown in this graph?

Answer 1

Point slope or standard form? Standard is y=0-+1, point is y=1

Answer 2

Answer: y=1

Explanation:

In the given picture , we have a line that is parallel to x-axis and passing through (2,1) and (-4,1).

The slope of the lien parallel to x-axis is 0 [∵ slope of x-axis is 0 and slope of two parallel lines are equal. ]

Equation of a line passing through two points (a,b) and has slope m is given by :-

`(y-b)=m(x-a)`

Put (a,b) = (2,1) and m = 0 , we get

`(y-1)=(0)(x-2)\\\\ y-1=0\\\\ y=1`

Hence, the equation of the given line is : y=1