Question

What is the equation of the line that passes through (0, 2) and has a slope of 0?

Answer 1

When the slope = 0,
⇒the graph is a horizontal line.

Given that it passes through (0, 2), the graph must be y = 2.


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Answer: y = 2
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Answer 2

The equation of the line is y = 2.

Explanation:

Since, the equation of a line passing through a point
`(x_1,y_1)` and having slope m is,

`y-y_1=m(x-x_1)`

Here,
`x_1` = 0,

`y_1` = 2,

m = 0,

Hence, the equation of the given line is,

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

`y-2=0`

`\implies y = 2`