If y = 5x - 2 were changed to y = x - 2, how would the graph of the new function compare with the first one?A.It would be steeper.B.It would be shifted down.C.It would be less steep.D.It would be shifted left.
Question
If y = 5x - 2 were changed to y = x - 2, how would the graph of the new function compare with the first one?A.It would be steeper.B.It would be shifted down.C.It would be less steep.D.It would be shifted left.
Solution
The correct answer is C. It would be less steep.
Here's why:
The equation y = 5x - 2 has a slope of 5, which means for every unit increase in x, y increases by 5 units. This would result in a relatively steep line on a graph.
On the other hand, the equation y = x - 2 has a slope of 1. This means for every unit increase in x, y only increases by 1 unit. This would result in a less steep line on a graph compared to the first equation.
Therefore, changing the equation from y = 5x - 2 to y = x - 2 would make the graph less steep, not steeper, shifted down, or shifted left.
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