Here are my two functions:
y1=2x+6 and y2=−x+9.
For y1, the y-intercept is 6 like it should be for y=mx+b.
However, for y2, the value 9 is used as a translation and not for the y-intercept. Aren't they both in y=mx+b?
I'm just very curious as to why these two functions are graphed differently!
They are not graphed differently, it is just 2 different ways to think of the same thing.
y=2x+6 is y=2x with a upwards translation of +6 giving the line a y intercept of 6
y=-x+9 is y=-x with an upwards translation of +9 giving the line a y intercept of 9
It is a good question because it demonstrates that you are thinking about what is happening
They are not graphed differently, it is just 2 different ways to think of the same thing.
y=2x+6 is y=2x with a upwards translation of +6 giving the line a y intercept of 6
y=-x+9 is y=-x with an upwards translation of +9 giving the line a y intercept of 9
It is a good question because it demonstrates that you are thinking about what is happening