Answer: y=3x-2
Explanation:
To find an equation that is parallel to the given line, we know that the slope will be the same. The slope MUST be the same because if the slope is different, the lines will touch at one point. Parallel lines NEVER touch or cross, therefore, the slope is the same.
y=3x+b
To figure out the line, we use the given point and plug that into x and y.
4=3(2)+b [multiply]
4=6+b [subtract both sides by 6]
b=-2
Now that we know the y-intercept, we can complete the equation.
y=3x-2