When an equation is in slope-intercept form: Examples: Identify the slope of the line and the y-...
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Transcript of When an equation is in slope-intercept form: Examples: Identify the slope of the line and the y-...
When an equation is in slope-intercept form:
When an equation is in slope-intercept form:
Examples:Identify the slope of the line and the y-intercept for each
equation. 1. y = 3x +2
2. y = ½ x – 3
3. y = x –9 4. y = 6 - x
3 2 ½ -3
1 -9 6 -1
Ex.1: What is the equation of the line in slope-intercept form?
m =
b =
4
3
-2
24
3 xy
Using a Graph
Ex. 2: What is the equation of the line in slope-intercept form?
m =
b =
3
5
2
35
2 xy
Graphing linear equations using slope-intercept form (y
= mx + b)
Step 1: Graph the y-intercept.Step 2: Using the slope, find another point.Step 3: Draw a line through the two points.
Ex. 1 Graph the equation:
m =
b = 1
12 xy
2
Ex. 2 Graph the equation:
m =
b =
-4
42
1 xy
2
1
Ex. 3 Graph the equation:
m =
b = 2
23 xy
3
Ex. 4 Graph the equation:
m =
b = 6
6xy
1
Slope Intercept Form: y = 1.0 x + 0.0 x y
-10 -10
-9 -9
-8 -8
-7 -7
-6 -6
-5 -5
-4 -4
-3 -3
-2 -2
-1 -1
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 10-10
0
10
-10 0 10
Let’s look at a graph of a linear equation in this form.
What does the slope tell you about a line? How does changing the slope affect your graph?
What is the y-intercept? What does it tell you about the line? How does changing the y –intercept affect you graph?