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Warm-up # 33 Monday, 12/7/2015

1) Write the slope-intercept form for the equation of the line through (0, 2) that has a slope of

2) Write the slope-intercept form for the equation of the line through the points (5, 0) and (-3, -1).

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Homework Monday, 12/7

Lesson 4.02_lesson 4.02_pg 286 #28-33, #52 ALL

Lesson 4.03: Graph using

Slope-Intercept Form

we can graph a line easily when given:

1. a point2. the slope of the line

SLOPE-INTERCEPT FORM

y = mx + bSTEP 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

y = x + 2

Example 2

y = 3x - 1

Example 3: Now we can finally graph using slope-intercept form.

y = -3x + 2m =-3=

b = 2= (0,2)

y = mx + b

Example 4: Graph using slope-intercept form.

x + y = 0

m = -1=

b = 0= (0,0)

y = -x

y = mx + b

Example 5: Graph using slope-intercept form.

4x + 5y = 15

m = b = 3= (0,3)

-4x -4x5y = -4x + 155 5 5𝐲=

−𝟒𝟓 𝐱+𝟑

Example 6: Graph using slope-intercept form.

4x - y – 3 = 0

m = 4 = b = -3= (0,-3)

-4x -4x- y – 3 = -4x

+3 +3-y = -4x + 3y = 4x -3