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 (x₁, y₁) and (x₂, y₂) is .]

Related Terms for Slope

• x-coordinate
• y-coordinate

Additional Links for Slope

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