Answer:
y=6
Step-by-step explanation:
Let us start with the general equation of a line, y=mx+b. m represents the slope of the line, b represents the y intercept, and the y and x represents the values of the coordinate that the line passes through.
In this case, we know our line is parallel to y=-3, thus it has the same slope as it. Notice that in y=-3, there is no x. Therefore, the slope must be 0!
We now have equation:
[tex]y=0x+b[/tex]
Let us plug in the coordinate it passes through (2,6), to solve for b.
[tex]6=0*2+b\\6=b\\[/tex]
Now we have everything! Let us write the equation of the line now.
[tex]y=6[/tex]
I hope this helps! Let me know if you have any questions :)
