Answer:
Explanation:
We'll look for an equation with the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0.
A line parallel to y=3x+6 will have the same slope, 3.
We can write y=3x+b. Any value of b can be used to generate a parallel line.
If we want that line to go through a specific point, such as (0,-2), we need to find a value of b that shifts the line so that it includes (0,-2). This can be done by using that point in the equation y=3x+b:
y=3x+b
-2=3*(0)+b for point (0,-2)
b = -2
The equation becomes y=3x-2
See the attached plot.
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Do that same thing for the remaining two points.
For B: (2,5) The equation is y=3x-1
For C: (4,1) The equation is y=3x-11