Slope

Definition of Slope

  • Slope is the measure of steepness of a line.
  • Slope .

                                          

Examples of Slope

  • Slope of the line shown .

More about Slope

  • Slope of a curve: The slope of a curve is the slope of a line tangent to a particular point on the graph of the curve.
  • Slope-intercept form: An equation of the form y = mx + b, where m is the slope and b is the y-intercept.

Solved Example on Slope

ABCD is a rectangle. The vertices of A are (- 7, - 5). Find the slope of the diagonal AC if the coordinate axes are the lines of symmetry for the rectangle shown.

   

Choices:

A.

B.

C.

D.

Correct Answer: A

Solution:

Step 1: The coordinate axes are the lines of symmetry for the rectangle shown.

Step 2: The coordinates of B, C, and D are B(7, - 5), C(7, 5) and D(- 7, 5).

Step 3: Slope of AC is                        [Slope of line passing through and  is .]

         

Related Terms for Slope

  • x-coordinate
  • y-coordinate

 

Additional Links for Slope