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Y does down the middle but y does not
up and down it is the y axis on a graph
y axis is the vertical line that can move only up or down.
First, you need to understand that y = 2x - 3 is the slope-intercept form of a line. Remember from middle/high school algebra that the slope-intercept form of a line is: y = mx + b where: m is the slope of the line b is the y-intercept of the line since -8 < -3, the y-intercept moves "down". Since the slope is unchanged, the rest of the line must also move "down". I will leave the amount that the line moves "down" as an exercise for the reader ;)
Most equations WILL have a y-intercept. However, it is possible to have an equation without one! One way is to limit the domain, or how far the x goes. Another way is to make it so that the function is a line that goes straight down. The line would obviously be a bit left or right from the center.