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.

Video Examples: Algebra - Slope

Example of Slope

Slope of the line shown .

Solved Example on Slope

Ques: 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. 5/7
B. 5/6
C. 7/5
D. 7/8
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 .]