Here are my two functions:
\(y_1 = {2x + 6}\) and \(y_{2} = {-x + 9}\).
For \({y_1}\), the y-intercept is \({6}\) like it should be for \(y = {mx + b}\).
However, for \({y_2}\), 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