Call Now: (800) 537-1660
 Home    Why?     Free Solver   Testimonials    FAQs    Product    Contact

June 20th

June 20th

# Graphs

2.3 linear function s – Slope and Graphs

Need To Know
Slope
Slope- Intercept form of an Equation
Applications

Slope

The slope of the line passing through
and is given by

Example

Find the slope of the line containing the pair of points.

(3 -2) and (7 5)

(9 3 -3 5) and (2 5 -6 9)

Equations of lines

Graph and observe patterns

Our experiment will just study the
change made by the x coefficient .

Slope-Intercept Form
for the Equation of a Line

Slope-Intercept Form
for the Equation of a Line

Example

For each , find the y-intercept and the slope.

 Find a linear function whose graph has slope –8 and y-intercept (0, 3) Graph

Applications

Because slope is a ratio that indicates
change in the vertical divided by change in the horizontal,
it has many real -world applications.
Foremost is the use of slope to re present a rate of change.

 Find the rate of change.

2.4 More on Linear Graphs

Need To Know
Slope and equation of a line
Graphing lines from the intercepts
Read pages from 112 to 116 only.

Slope and Equations

Slope:

Recall: Graphing in 2 dimensions

1) x = -3
2) y = 4

(picture, orientation and slope)

Summary of Linear Equations

y = a number
f(x) = a number

x = a number

y = mx + b
f(x) = mx + b

Ax + By = C

Intercept Points

 The _______________is the point where the line crosses the x-axis. _____ Find the x-intercept point by ____________. The _______________is the point where the line crosses the y-axis. _____ Find the y-intercept point by _____________.

Graphing Lines w/ Intercepts

 Use the intercepts points to graph 3x + 2y = 12 Use the intercepts points to graph Let g(x) = y 5x + 2g(x) = 7

2.5 Other Linear Equations

Need To Know
Recall Point- Slope formula
Write Equations of lines
Parallel and Perpendicular

Point Slope Equation

 y = mx + b is limited. Example: Write equation of the line through (-2, 1) and (3, 0) Example: y – 3 = -½ (x + 2) m = __________ point is ________ Writing Equations: You need 1. 2. 3.

Practice

Write the equation as a function in slope intercept
form of the line that goes through (4, -5) with a
slope of -2/3.

 Parallel lines: Perpendicular Lines:

Write the equation of the line through (4, -5)
and perpendicular to 5x – 2y = 4

 Prev Next

Home    Why Algebra Buster?    Guarantee    Testimonials    Ordering    FAQ    About Us
What's new?    Resources    Animated demo    Algebra lessons    Bibliography of     textbooks