Question

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

Answer 1

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

$y=2\\\\\Rightarrow y=0\times x+2,$

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.

Answer 2

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