WRITE LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM

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WRITE LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM. December 2, 2013 Pages 283-285. Two lines are if their slopes are equal. 3. ?. ?. ?. In the equation y = mx + b , the value of m is the of the graph of the equation. 1. parallel. ANSWER. slope. ANSWER.

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### WRITE LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM

December 2, 2013

Pages 283-285

Two lines are if their slopes are equal.

3.

?

?

?

In the equation y = mx + b, the value of m is theof the graph of the equation.

1.

parallel

slope

In the equation y = mx + b, the value of b is theof the graph of the equation.

2.

y-intercept

Copy and complete the statement.

3

4

(4, 5), (2, 3)

4.

1

5.

(0, – 6), (8, 0)

6.

(0, 0), (– 1, 2)

– 2

Find the slope of the line that passes through the points.

3

3

4

4

7.

y = x + 1

1, 1

, –6

8.

y = x – 6

2

2

,– 2

x– 2

5

5

9.

y = –

Identify the slope and the y-intercept of the line with the equation.

10.

f(x) = x – 10

– 12, – 10, – 6

0, 4, 12

3, – 7, – 27

Evaluate the function when x = – 2, 0, and 4.

11. f(x) = 2x + 4

12. f(x) = – 5x – 7

13. Write an equation of the line with a slope of – 2 and a y -intercept of 5.

y = mx + b

Write slope-intercept form.

y = – 2x + 5

Substitute – 2 form and = for b.

y =–x+ 3

y =–x+ 3

y =–x+ 1

y =3x +

D

A

C

B

2

2

5

2

2

–2

5

2

5

5

The slope of the line is

.

=

=

5

rise

5

run

2

2

y= – x+3

Substitute– for mand3forb.

5

5

14. Which equation represents the line shown?

The line crosses they-axisat(0, 3).So, they-intercept is3.

y = mx + b

Write slope-intercept form.

y2 – y1

– 1 – (– 5)

4

m

=

=

=

x2 – x1

3 – 0

3

Substitute for mand 5for b.

4

4

y = x – 5

3

3

SOLUTION

STEP 1

Calculate the slope.

STEP 2

Write an equation of the line. The line crosses the y-axis at (0, – 5). So, the y-intercept is – 5.

y = mx + b

Write slope-intercept form.

y2 – y1

17 – 5

12

m

3

=

=

=

=

x2 – x1

4 – 0

4

16. Write an equation for the linear function fwith the values f(0) = 5 andf(4) = 17.

SOLUTION

STEP1

Write f(0) = 5 as (0, 5) and f (4)= 17 as (4, 17).

STEP2

Calculate the slope of the line that

passes through(0, 5) and (4, 17).

The function isf(x) = 3x +5.

STEP3

Write an equation of the line. The linecrosses they-axis at(0, 5).So, they-intercept is5.

y = mx + b

Write slope-intercept form.

y =3x + 5

Substitute 3 for mand 5 for b.

HOMEWORK

Chapter 5, section 1

Pages 286-289

#4-14, even

#18-38, even

#53-54, all