Answer:
y = 3x + 3
Step-by-step explanation:
Let's say you put a point or line on a graph at (2, 3) with 2 being the x-axis, and y being the y-axis, when you translate it left or right, you would move the point or line left or right, which changes the x-axis. If you move it to the right, you would increase the x value, and decrease it if you move it to the right. This is the same thing for going up and down. moving it up increases the y value, and moving it down decreases the y value.
When you place an equation on a graph, y is the result or point on the line when x equals a certain number. If x equaled 3, then the equation would be, y = (3 * 3) - 2. Which would be 9-2 = 7.
The 3x is the slope of the line, for every 1 unit to the right, the line would go 3 units up. the -2 is the intersection of the line through the y axis. so in this equation, the intersection would be -2.
To find the new equation, you would take the first equation, y = 3x - 2, then when you translate it up, you would increase the y intersect of the line by however much you need to, which would be 5. so you would just add 5 to the -2 to get the new equation. So now the new equation you have is y = 3x +3.