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.

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.

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