Answer: y= 3x-7
Explanation:
y=mx+b
Where m is the slope and b is the y intercept
The slope of the given equation, y=3x+7 is 3
So, to write an equation parallel to the given equation and set of points, use point slope form and the slope of 3:
y−y1=m(x−x1)
Where (2,-1)⇒(x1,y1) and m=3
y−(-1)=3(x−2)
Distribute the 3 throughout the set of parenthesis
y+1=3x−6
Perform the opposite operation to isolate y by subtracting 1 on both sides of the equation
y=3x-7