Answer:
[tex]y=2[/tex]
Step-by-step explanation:
To solve this question, we can use the point-slope formula as we are given points on the line. This is the format:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
The first step is to find the slope by substituting in two of the points. Let's try using (7,2) and (3,2):
[tex]2-2=m(7-3)\\0=4m\\m=0[/tex]
So now we have found that our slope is 0 meaning it is a flat line (shown by the unchanging y values through all three points).
The form for line equations is:
[tex]y=mx+c[/tex]
However, since our m=0, it is simplified to this:
[tex]y=c[/tex]
The y-value for all the points is 2, meaning c=2 (as it is also the y-intercept)
Therefore our final equation is:
[tex]y=2[/tex]
Hope this helped!
