Download ALGEBRA 1 Name: Outline Sec. 5.3 Cierech/Dahl Date: Slope

ALGEBRA 1
Outline Sec. 5.3
Cierech/Dahl
Name:
Date:
Slope-Intercept Form
A
of functions is a group of functions with common characteristics.
A
function is the simplest function with these characteristics.
The linear parent function is
or
Slope Intercept Form of a Linear Equation:
The equation of line in the slope-intercept form:
m represents the
.
b represents the
.
(where the line crosses the y-axis)
Example 2: What are the slope and y-intercept of the following equations?
c) 3 x  2 y  8
m=
y
4
x
m=
b=
b=
b=
a) y  3x  4
b)
m=
Example 3: Find the equation of the line with a y-intercept of 1 and a slope 3.
Equation: _______
______
Example 4: What is the equation of the line graphed at the
right?
What is the y-intercept?
_______
What is the slope?
______
Equation:
Writing an Equation From Two Points:
STEPS:
1) Find the slope of the line
2) Use the slope and one of the coordinates to find b.
3) Substitute the slope and y-intercept into the slope-intercept form to write the equation.
Example 5: What is the equation of the line passing through the points (3, -4) and (9, 0)?
Graphing a Linear Equation:
Graph the equation y  2 x  3
1) Plot the y-intercept
2) Use the slope to move vertically and then horizontally from that
point.
3) Draw a line through the two points.
Homework:
Tonight: p. 332-333 #’s 12-36 even
Tomorrow: p. 336-337 #’s 3-12, 18-234