Final Answer:
The new coordinates of the point (1,1) when the line is made 2 times as steep will be (1,3).
Step-by-step explanation:
When a line is made steeper, it means that the slope of the line increases. The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run). If the original slope is m, making the line 2 times as steep means multiplying the slope by 2.
For the point (1,1), the new y-coordinate can be found by multiplying the original slope by 2 and adding it to the original y-coordinate. If the original slope was m, the new y-coordinate (y') can be calculated as follows: y' = y + 2m. In this case, since the original point is (1,1), the new y-coordinate is 1 + 2m.
If the original slope was 1 (as there is no specific slope given in the question), then the new y-coordinate is 1 + 2(1) = 3. Therefore, the new coordinates of the point (1,1) when the line is made 2 times as steep will be (1,3). This means that the point has moved vertically upward along the steeper line.