MA129 Lecture Notes - Lecture 4: 32X

73 views4 pages
School
Department
Course
Professor
Lecture #4 - Slope/Domain and Range
Slope :
m = slope
m = (y2 - y1) / (x2-x1) OR m = change in y / change in x
Slope is most commonly referred to as “rise over run”
Different forms of lines:
Point slope form: y - y0 = m (x - x0)
General form: ax + by + c = 0
Slope intercept form: y = mx + b
*General form includes all possible lines, while the other two do not include vertical lines, this
is what makes the general form useful. Point slope form is useful for tangent lines.
Slope of perpendicular lines is always the negative reciprocal of the original lines slope.
Ex.
A line has the equation y = 3/2x + 5. Find the slope of the perpendicular line.
Slope of original = 3/2.
Therefore the slope of the perpendicular line is the negative reciprocal of 3/2 which is -2/3.
Answer = -2/3
Ex.
Find an equation for the line through (1,3) perpendicular to the line 2x - 3y = 5.
1. Find slope of given line
Unlock document

This preview shows page 1 of the document.
Unlock all 4 pages and 3 million more documents.

Already have an account? Log in

Get access

Grade+
$10 USD/m
Billed $120 USD annually
Homework Help
Class Notes
Textbook Notes
40 Verified Answers
Study Guides
1 Booster Class
Class+
$8 USD/m
Billed $96 USD annually
Homework Help
Class Notes
Textbook Notes
30 Verified Answers
Study Guides
1 Booster Class