Understanding Slopes in Graphs

The video tutorial explains the concept of slope, using everyday examples like a ski slope to illustrate the idea of inclination. It covers different types of slopes: zero, positive, and negative. The tutorial emphasizes how the slope affects the relationship between x and y values on a graph. It also compares slopes, particularly focusing on graphing a line with a negative slope that is less negative than another line, using visual examples to clarify the differences.

What does the term 'slope' generally refer to in everyday language?

• The inclination of a surface

• The height of a mountain

• The width of a river

• The length of a road

What is the slope of a line if y does not change as x increases?

• Positive

• Negative

• Zero

• Undefined

If a line has a positive slope, what happens to y as x increases?

• y becomes zero

• y remains constant

• y decreases

• y increases

Which of the following describes a line with a very positive slope?

• The line goes down quickly

• The line goes up quickly

• The line goes up slowly

• The line is flat

What characterizes a line with a negative slope?

• y increases as x increases

• y decreases as x increases

• y remains constant as x increases

• y becomes zero as x increases

If a line has a negative slope, what happens to y when x is negative and then becomes positive?

• y becomes zero

• y increases

• y decreases

• y remains constant

What is the task when graphing a line with a slope greater than a given negative slope?

• Make the slope positive

• Make the slope more negative

• Make the slope zero

• Make the slope less negative

How can you graph a line with a negative slope that is less negative than another line?

• By making it horizontal

• By making it flatter

• By making it steeper

• By making it vertical

What would a line with a zero slope look like?

• It would be vertical

• It would be horizontal

• It would be diagonal

• It would be curved

What is the slope of a line if y decreases as x increases?

• Negative

• Zero

• Undefined

• Positive