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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 ;)

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Q: How will changing the 3 into an 8 in the equation y equals 2x-3 affect the graph?
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