Exploring Positive and Negative Slopes in Algebra

What does the Greek letter delta symbolize in the context of slope?

• The product of values

• The difference in values

• The division of values

• The sum of values

How is slope calculated in the xy plane?

• Difference between x and y changes

• Sum of x and y changes

• Change in y divided by change in x

• Change in x divided by change in y

What does a slope of 1 indicate about a line on the xy plane?

• For every unit increase in x, y decreases by 1

• For every unit increase in x, y increases by 2

• There is no change in y as x increases

• For every unit increase in x, y increases by 1

What characterizes a line with a slope of 2?

• It is twice as steep as a slope of 1

• It is less steep than a slope of 1

• It remains constant regardless of x

• It decreases as x increases

What does a negative slope indicate?

• As x increases, y decreases

• As x decreases, y increases

• As x increases, y also increases

• As x increases, y remains constant

How does a slope of -1 affect the line's direction?

• It makes the line slope downwards

• It makes the line vertical

• It makes the line slope upwards

• It makes the line horizontal

What is the slope of a line that decreases twice as fast in the y direction as it increases in the x direction?

• 2

• 1

• -2

• -1

How does the steepness of a line change with a higher positive slope?

• It becomes less steep

• It remains the same

• It becomes more steep

• It becomes horizontal

What happens to y as x increases in a line with a very high negative slope?

• Y increases dramatically

• Y decreases dramatically

• Y decreases slightly

• Y remains unchanged

Which of the following best describes the relationship between slope and the steepness of a line?

• A higher absolute value of slope means a steeper line

• A negative slope always results in a flat line

• A higher slope means a less steep line

• The slope has no effect on steepness