### 4_7d Graphing Lines Using Slope Intercept Form

```WARM UP
5 Minutes Remain
MIXED REVIEW (solve the equation)
1. X + 6 = 14
2. 9 – y = 4
3. 7b = 21
a
4.
4 =3
5. 3x – 12 = 6
1
6.
h–2=1
3
WARM UP
MIXED REVIEW (solve the equation)
1. X + 6 = 14
2. 9 – y = 4
3. 7b = 21
a =3
4.
4
5. 3x – 12 = 6
6. 1 h – 2 = 1
3
4
WARM UP
MIXED REVIEW (solve the equation)
1. X + 6 = 14
2. 9 – y = 4
3. 7b = 21
a =3
4.
4
5. 3x – 12 = 6
6. 1 h – 2 = 1
3
3
WARM UP
MIXED REVIEW (solve the equation)
1. X + 6 = 14
2. 9 – y = 4
3. 7b = 21
a =3
4.
4
5. 3x – 12 = 6
6. 1 h – 2 = 1
3
2
WARM UP
MIXED REVIEW (solve the equation)
1. X + 6 = 14
2. 9 – y = 4
3. 7b = 21
a =3
4.
4
5. 3x – 12 = 6
6. 1 h – 2 = 1
3
1
WARM UP
MIXED REVIEW (solve the equation)
1. X + 6 = 14
2. 9 – y = 4
3. 7b = 21
a =3
4.
4
5. 3x – 12 = 6
6. 1 h – 2 = 1
3
0
4.7 Graphing Lines Using SlopeIntercept Form
SLOPE-INTERCEPT FORM OF THE EQUATION OF A LINE
The linear equation y = mx + b is written in slope-intercept form, where m is the slope
and b is the y-intercept.
slope
y-intercept
y = mx + b
4.7 Graphing Lines Using SlopeIntercept Form
EXAMPLE 3 Identify Parallel Lines
Which of the following lines are parallel?
Line a: -x + 2y = 6
line b: -x + 2y = -2
line c: x + 2y = 4
1 Rewrite each equation in slope-intercept form.
Line a: y = ½x + 3
line b: y = ½x - 1
line c: y = -½x + 2
4.7 Graphing Lines Using SlopeIntercept Form
EXAMPLE 3 Identify Parallel Lines
Which of the following lines are parallel?
Line a: -x + 2y = 6
line b: -x + 2y = -2
line c: x + 2y = 4
2 Identify the slope of each equation.
Line a: slope is ½
line b: slope is ½
line c: slope is -½
4.7 Graphing Lines Using SlopeIntercept Form
EXAMPLE 3 Identify Parallel Lines
Which of the following lines are parallel?
Line a: -x + 2y = 6
line b: -x + 2y = -2
line c: x + 2y = 4
3 Compare the slopes.
Lines a and b are parallel because each has a slope of ½.
Line c is not parallel to either of the other two lines because it
has a slope of -½.
CHECK
√ The graph gives you a visual check.
4.7 Graphing Lines Using SlopeIntercept Form
Practice: Are the following lines parallel?
line a: 3x + 2y = 6
line b: 6x +4y = 6
Sí, paralelo!
< arquitecto
>
PARALLEL LINES Determine whether
the graphs of the tow equations are
parallel. Graph the lines and explain
1.
2.
3.
4.
5.
6.
Line a: y = -3x + 2
Line a: 2x – 12 = y
Line a: y = x + 8
Line a: 2x – 5y = -3
Line a: y + 6x = 8
Line a: 3y – 4x = 3
Line b: y + 3x = -4
Line b: y = 10 + 2x
Line b: x – y = -1
Line b: 5x + 2y = 6
Line b: 2y = 12x – 4
Line b: 3y = -4x + 9
GRAPH THESE LINES Put the equation in slope
intercept form (y = mx + b) and graph.
7. Y = 2x + 4
11. -x + y = 5
1
8. Y = - x -2
2
3
9. Y = - + 3
4
10. Y = 4 x - 4
3
12. y – 3x = -3
```