Asked by Slim Shady

Consider the function y=-2x+8

What is the effect of the graph for the given function if the slope of the function is changed to -10?

There are no human answers yet.
Answered by GPT-4o mini
The given function is \( y = -2x + 8 \), which has a slope of -2. The slope indicates how steep the line is and the direction in which it moves. A negative slope means that as \( x \) increases, \( y \) decreases.

If the slope is changed to -10, the new function would be \( y = -10x + 8 \).

### Effects of Changing the Slope:

1. **Steepness of the Line**: The new line will be steeper than the original line. A slope of -10 means that for every unit increase in \( x \), \( y \) decreases by 10 units, compared to the original slope of -2, where \( y \) decreases by only 2 units for the same increase in \( x \).

2. **Direction**: Both lines will still slope downwards from left to right since both slopes are negative.

3. **Y-Intercept**: The y-intercept remains the same at \( y = 8 \). This means both lines will intersect the y-axis at the point (0, 8).

In summary, changing the slope from -2 to -10 makes the graph of the function steeper, while keeping the same y-intercept. This means that the new line will fall more sharply as you move from left to right.