Aim: How do we use the slope/y-intercept method in graphing a linear equation?

1
Aim How do we use the slope/y-intercept method
in graphing a linear equation?
Do Now Graph a line with a slope of -4/5 that
goes through the coordinates (-3, 2).
2
y mx b
Equation y mx b slope m y-intercept b
y
y-intercepts
(0,3)
3
y 2x
0
(0,0)
1
x
y 2x 3
(0,-5)
y 2x - 5
y 2x 3
y 2x
y 2x - 5
Slope Intercept Form of a Linear Equation
y mx b
Equation y 2x - 1 slope 2/1 2 y-intercept
-1
3
Model Problem
What is the slope? the y-intercept?
4
Graphing with Slope Intercept Form
1. Put equation in terms of y
y -2/3x 3
2. Slope/y-intercept form
m slope -2/3 b y-intercept 3
3. Plot b for y -2/3x 3 - (0, 3)
(-3, 5)
2x 3y 9
2x 3y 9
2x 3y 9
4. Rise over run the slope of -2/3 down 2
- then right 3
5. Plot the new point, connect with the
y-intercept and label the line.
6. Check other points on the line.
5
Graphing with y mx b
Slope 4
y-intercept -5
(0, -5)
y 4x - 5
x
6
Aim How do we use the slope/y-intercept method
in graphing a linear equation?
Do Now Graph a line whose equation is
7
Model Problem
Graph the following linear equations
8
Model Problem
Graph the line that is parallel to and passes
through (-2, -3)
9
Model Problem
Graph the line that is parallel to and passes
through (-4, 2)