Back
Introduction to Slopes
> ... Math > Slopes, Intercepts, Equation of a Straight Line > Introduction to Slopes

Graphs help us recognize patterns in data and are useful in almost every industry. You will also be using graphs in your team project this week.

  • Slope = The rate of change of a function on a graph; the steepness of the line.
Introduction to Slope

Video Source (03:30 mins) | Transcript

To determine if the slope is positive or negative: Follow the line from left to right. If the graph goes up, its slope is positive. If the graph goes down, its slope is negative.

Additional Resources

Practice Problems

Use the graph below to answer questions 1 through 5.
This is an image of a graph with five different lines. Line A starts in the top left and ends in the bottom right. Line B starts in the bottom left and ends in the top right. Line C starts in the top left and ends in the bottom right. Line D starts around the lower middle area of the left side and ends in the upper middle area of the right side. Line E starts around the x axis on the left and ends 4 units down from the x axis on the right.
  1. Is the slope of line A positive or negative? (
    Solution
    x
    Solution: Negative
    Details:
    When you follow line A from left to right, the line goes down. So the slope is negative.

    Several lines graphed on a coordinate plane. The line marked A moves downward from left to right. An arrow, following the path of the line, points downward.
    )
    1. Positive
    2. Negative
  2. Is the slope of line B positive or negative? (
    Solution
    x
    Solution: Positive
    Details:
    When you follow line B from left to right it goes up, so the slope is positive.

    Several lines graphed on a coordinate plane. The line marked B is going upward from left to right. An arrow following the path of line B points upward.
    )
    1. Positive
    2. Negative
  3. Is the slope of line C positive or negative? (
    Solution
    x
    Solution:
    Negative
    )
    1. Positive
    2. Negative
  4. Is the slope of line D positive or negative? (
    Solution
    x
    Solution:
    Positive
    )
    1. Positive
    2. Negative
  5. Is the slope of line E positive or negative? (
    Solution
    x
    Solution:
    Negative
    )
    1. Positive
    2. Negative

Need More Help?

  1. Study other Math Lessons in the Resource Center.
  2. Visit the Online Tutoring Resources in the Resource Center.
  3. Contact your Instructor.
  4. If you still need help, Schedule a Tutor.