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Grade 8 Mathematics Formula Sheet

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?



(1 point)
Responses

The line shifts up
The line shifts up

The line shifts down
The line shifts down

The line is more steep
The line is more steep

The line is less steep

1 answer

In the function \( y = -2x + 8 \), the slope is -2. If the slope is changed to -10, the new function would be \( y = -10x + 8 \).

When comparing slopes:

  • A steeper negative slope (like -10) indicates that the line falls more steeply than a less steep negative slope (like -2).

Thus, changing the slope from -2 to -10 means the line becomes steeper.

Therefore, the correct response is:

The line is more steep.