Warm-up # 33 Monday, 12/7/2015
4
1) 5
−3=
2) Write the slope-intercept form for the equation of the
3
line through (0, 2) that has a slope of
4
3) Write the slope-intercept form for the equation of the
line through the points (5, 0) and (-3, -1).
1
Homework Monday, 12/7
Lesson 4.02_lesson 4.02_pg
286 #28-33, #52 ALL
2
Lesson 4.03:
Graph using
Slope-Intercept
Form
we can graph a line easily when
given:
1. a point
2. the slope of the line
SLOPE-INTERCEPT FORM
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 (0, y).
STEP 2: Look at the slope (m): It describes
the steepness of a line. You use “rise over
run”
Example 1
𝟐
𝟑
y= x+2
Example 2
y = 3x - 1
Example 3: Now we can finally graph using
slope-intercept form.
y = -3x + 2
m =-3=
−3
1
b = 2= (0,2)
y = mx + b
Example 4: Graph using slope-intercept form.
y = mx + b
x+y=0
y = -x
m = -1=
−1
1
b = 0= (0,0)
Example 5: Graph using slope-intercept form.
4x + 5y = 15
-4x
-4x
5y = -4x + 15
5
5
5
−𝟒
𝐲=
𝐱+𝟑
𝟓
m=
−4
5
b = 3= (0,3)
Example 6: Graph using slope-intercept form.
4x - y – 3 = 0
-4x
-4x
- y – 3 = -4x
+3 +3
-y = -4x + 3
y = 4x -3
4
1
m=4=
b = -3= (0,-3)