Question

What is the equation of the line shown written in slope-intercept form?

y = 2
y = -2
x = 2

Answer 1

it would be Y=2 as it's a horizontal line at y=2

Answer 2

Answer: The correct option is (A)
`y=2.`

Step-by-step explanation: We are given to find the slope intercept form of the line shown in the graph.

We can see from the graph that

the line is parallel to the X-axis and passes through the point (5, 2).

The equation of a line parallel to the X-axis is given by

`y=k,~~~~~~~~~~~~~~[\textup{where k is a constant}]~~~~~~~~(i)`

Since the line passes through the point (5, 2), so it will satisfy equation (i).

Therefore, we get

`y=k\\\\\Rightarrow 2=k\\\\\Rightarrow k=2.`

Substituting the value of k in equation (i), we get

`y=2\\\\\Rightarrow y=0* x+2,`

which is the required equation of the line in slope-intercept form with slope 0 and y-intercept 2.

Thus, the required slope-intercept form is
`y=2.`

Option (A) is CORRECT.