Unit 3 Day 3 Notes
Linear Equations
Definitions
Slope-Intercept Form of the Equation of a Line:
The equation of a line in the form
y = mx + b
Write the equation of the line shown below.
Linear Equations
Examples:
Identify the slope and y-intercept for the line with the given
equation then graph the lines.
1) y = 3x – 2
2) 3x + 2y = 6
Linear Equations
On Your Own:
Identify the slope and y-intercept for
the line with the given equation then
graph the line.
1) y = -x + 1
Linear Equations
On Your Own Cont:
Identify the slope and y-intercept for
the line with the given equation then
graph the line.
2) y= 5x +4
Linear Equations
On Your Own Cont:
Identify the slope and y-intercept for
the line with the given equation then
graph the line.
3) -5x + 4y = 8
Linear Equations
CW
Convert the following equations to slope-intercept
form and graph the lines.
1) 3x + 4y = 36
2) 5x + 3y = 15
3) 7x – 4y = 28
4) 4x – 3y = 9
5) 10x + 30y = 90
6) 6x + 3y = 12
Writing Linear Equations
Examples:
Write the equation of the line given
the following information. Then graph
the line.
1) m = -4, (-2, 5)
Writing Linear Equations
Examples:
Write the equation of the line given
the following information. Then graph
the line.
1) b = -3, (4, -1)
Writing Linear Equations
Examples:
Write the equation of the line given
the following information. Then graph
the line.
1) (-4, -4), (4, -2)
Homework: Linear Equations
Write the slope-intercept form of the equation for the lines
shown below.
1)
2)
Identify the slope and y-intercept for equations below
then graph each equation.
3) x + y = 2
4) 2x - y = 4
5) 4x + 2y = 1
6) -3x - 3y = 9
7) 5x + 2y = 4
8) -8x - 2y = 0
Write the equation of the line using the following information.
9) (2, 3), (1, 1)
10) m = 0, (3, -4)
11) m = -2, (3, -7)
12) (0, 4), (4, 7)
13) m = -1, (3, -4)
14) (3, -6), (1, -4)
15) (-1, 0), b = 3
16) (4, 3), b = -1