how do you change a linear equation to shift it up or down
if the linear equation is written in the form
y = mx + b
shift up by 1 ----> y = mx + b + 1
shift down by 1 ---> y = mx + b - 1
thank you very much Reiny
To change a linear equation to shift it up or down, you need to modify the equation by adding or subtracting a constant value to the right side of the equation.
A linear equation can be written in the form of y = mx + b, where "m" represents the slope and "b" represents the y-intercept.
To shift the equation up or down, you can modify the y-intercept by adding or subtracting a value, which will change the position of the graph on the y-axis.
Let's see an example:
Original equation: y = 2x + 3
To shift this equation upwards, for instance, by 4 units, you can add 4 to the y-intercept:
Modified equation: y = 2x + (3 + 4) = 2x + 7
Now, the graph of the modified equation will be shifted 4 units up compared to the original equation.
Similarly, if you want to shift the equation downward by, let's say, 3 units, you can subtract 3 from the y-intercept:
Modified equation: y = 2x + (3 - 3) = 2x + 0 = 2x
Now, the graph of the modified equation will be shifted 3 units down compared to the original equation.
Remember, modifying the y-intercept will shift the entire graph of the linear equation up or down while keeping the slope unchanged.