3-7a equations of lines in the coordinate plane
DESCRIPTION
3-7A Equations of Lines in the Coordinate Plane. Learning Goals 1. To graph linear equations. Slope-Intercept Form y = mx + b m: slope of the line b: y-axis intersection point. slope (m) = If it is a whole number, put it over 1. example: y = -3x + 2 m = -3 = =. rise. run. -3. - PowerPoint PPT PresentationTRANSCRIPT
3-7A
Equations of Lines in the Coordinate Plane
Learning Goals
1. To graph linear equations.
Slope-Intercept Form
y = mx + b
m: slope of the lineb: y-axis intersection point
slope (m) =
If it is a whole number,put it over 1.
example: y = -3x + 2
m = -3 = =
riserun
-31
3-1
Slope
m = xx
yy
12
12
Find the slope of the points (-1, 3) and (-3, 9).
y2 – y1
x2 – x1
Find the slope of the points (-1, 3) and (-3, 9).
y2 – y1
x2 – x1
9 – 3-3 - -1
Find the slope of the points (-1, 3) and (-3, 9).
y2 – y1
x2 – x1
9 – 3-3 - -1
6 -2
Find the slope of the points (-1, 3) and (-3, 9).
y2 – y1
x2 – x1
9 – 3-3 - -1
6 -2
=
y-axis intercept (b)
Hits or crosses the y-axis at this point.
Coordinates of they-intercept: (0,b)
slope = = 2
21
slope = = 2
y-int. = +2
21
slope = = 2
y-int. = +2
y = mx + b
21
slope = = 2
y-int. = +2
y = mx + b
y = 2x + 2
21
Special Lines
y = 2
Horizontalline passing
through (0,2) witha slope = 0.
Special Lines
x = 2
Vertical line passing through
(2,0) with an undefined slope
To find the slope put the equation in the form y = mx + b.
18x – 42y = 210
To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = ?
To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210
To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210-42 -42 -42
To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210-42 -42 -42
y =
To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210-42 -42 -42
y =37
x
To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210-42 -42 -42
y =37
5x -
To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210-42 -42 -42
Slope = the number in front of x.
y =37
5x -
To graph the line make surethe equation is in the
form y = mx + b.
Graph the equation.-2x + 6y = 12
Graph the equation.-2x + 6y = 12
y = x + 213
Graph the equation.-2x + 6y = 12
y = x + 213
Graph the equation.-2x + 6y = 12
y = x + 213
Graph the equation.-2x + 6y = 12
y = x + 213
Graph the equation.-2x + 6y = 12
y = x + 213
Turn to page 193.
1, 2, 21
8-12, 16-20, 38-41, 64-66, 71-74
5 Points: 100% Complete 4 Points: 80% Complete 3 Points: 60% Complete 2 Points: 40% Complete
1 Point: 20% Complete