1. Warm-up #
4 5 −3=
Write the slope-intercept form for the equation of the line through (0, 2) that has a slope of 3 4
Write the slope-intercept form for the equation of the line through the points (5, 0) and (-3, -1).

2. Homework
Lesson 4.03_page 286
#1a-d and 2a-d

3. Lesson 4.3: Graph using Slope-Intercept Form

4. we can graph a line easily when given:
1. a random point
2. the slope of the line

5. SLOPE-INTERCEPT FORM

6. y = mx + b
STEP 1: Look at the y-intercept (b): When you have a linear equation, the y-intercept is the point where the graph of the line crosses the y-axis.
STEP 2: Look at the slope (m): It describes the steepness of a line. You use “rise over run”

7. Example 1
y = 𝟐 𝟑 x + 2

8. Example 2
y = 3x - 1

9. Example 3: Now we can finally graph using slope-intercept form.
y = mx + b
y = -3x + 2
m =-3= −3 1
b = 2= (0,2)

10. Example 4: Graph using slope-intercept form.
y = mx + b
x + y = 0
y = -x
m = -1= −1 1
b = 0= (0,0)

11. Example 5: Graph using slope-intercept form.
4x + 5y = 15
-4x x
5y = -4x + 15
𝐲= −𝟒 𝟓 𝐱+𝟑
m = −4 5
b = 3= (0,3)

12. Example 6: Graph using slope-intercept form.
4x - y – 3 = 0
-4x x
- y – 3 = -4x
-y = -4x + 3
y = 4x -3
m = 4 = 4 1
b = -3= (0,-3)