6. What happens to the graph of the line y = 3x -2 when the equation is changed to y = 3x +6?
What do you think happens...how do the slopes compare?
The y intercept changes, does it move the line up or down?
To determine what happens to the graph of the line y = 3x - 2 when the equation is changed to y = 3x + 6, we need to compare the two equations.
First, let's consider the slopes of the two lines. In both equations, the coefficient of x is 3, which represents the slope. Therefore, the slopes of both lines are the same.
Next, let's consider the y-intercepts. In the equation y = 3x - 2, the y-intercept is -2. In the equation y = 3x + 6, the y-intercept is 6. Since the y-intercept changed from -2 to 6, the line moves up by a distance of 8 units.
In summary, when the equation is changed from y = 3x - 2 to y = 3x + 6, the slope remains unchanged, but the line is shifted vertically upward by 8 units.