Name____________________________ Chapter 5 Date________________

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Chapter 5

Review

Name____________________________

Graph the following equations on the graphs provided:

Date________________

y = x – 3

1.

½x + y = 2

2.

x = 4

3.

Guided Notes

Section 5.1 Day 1

Writing Linear Equations in Slope-Intercept Form

Slope-Intercept Form

Recall that the graph of an equation in slope-intercept form, __________________, is a line with a slope of _____ and a y-intercept of ____.

You can use ______________ to write an equation of a line if you know its _____________ and ________________.

Write an equation of the line with a slope of -2 and with a y intercept of 4. y = mx + b Write slope-intercept form.

______________________

Guided Practice

Write the equation of the line with the given slope and y-intercept.

1. Slope is 8; y-intercept is -5. 2. Slope is 3; y-intercept is -6

3. Slope is 4; y-intercept is 7 4. Slope is

5

3

; y-intercept is 4

Now you try.

5. Slope is 2; y-intercept is 6 6. Slope is 

3

4

; y-intercept is 3

7. Slope is

1

Example 1

2

; y-intercept is -3 8. Slope is

4

3

; y-intercept is -1

Write an equation of the line shown in slope-intercept form.

Find the slope. m = Rise

Run

Step 1: Calculate the slope b/w 2 points: m =

Step 2: Find the y-intercept of the line by:

seeing where the line crosses the y-axis b =

Step 3: Write the equation by using the m & b in y = mx + b:

Example 2

Write an equation of the line shown.

Calculate the slope. m = Rise

Run

Step 1: Calculate the slope

Step 2: Find the y-intercept:

Step 3: Write the equation of the line in slope-intercept form:

Guided Practice

Write the equation of the line with the given slope and y-intercept.

1. Slope is

1

3

; y-intercept is (0,-6). 2. Slope is 4; y-intercept is (0,-8)

3. Slope is 10; y-intercept is (0,9) 4. Slope is 

2

7

5. Write an equation of the line shown

in slope-intercept form.

; y-intercept is (0,0)

6. Write an equation of the line shown

in slope-intercept form.

7. Write an equation of the line shown.

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