5.4 slope intercept form

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Slope Intercept Form 5.4

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Page 1: 5.4 Slope Intercept Form

Slope Intercept Form

5.4

Page 2: 5.4 Slope Intercept Form

X Intercept

Where the line crosses the x axis

Where the line crosses the y axis

Y Intercept

Page 3: 5.4 Slope Intercept Form

Find the x and y intercepts. Then graph the functions below.1. x + y = -2

X -intercept - 0 for y

X + 0 = -2X = -2 (-2, 0)

0 + y = -2

X + y = -2 Y-intercept - 0 for x

Y = -2 (0, -2)

Page 4: 5.4 Slope Intercept Form

Find the x and y intercepts. Then graph the functions below.

(-2, 0) and (0, -2)

x

y

Page 5: 5.4 Slope Intercept Form

Find the x and y intercepts. Then graph the functions below.

X -intercept4x + 5(0) = 204x + 0 = 204x = 20

4(0) + 5y = 204x + 5y = 20

Y-intercept

0 + 5y = 20

5y = 20÷4_ ÷4

x = 5

(5, 0)

÷5 ÷5

y = 4(0, 4)

3. 4x + 5y = 20

Page 6: 5.4 Slope Intercept Form

Find the x and y intercepts. Then graph the functions below.

3. (5, 0) and (0, 4)

x

y

Page 7: 5.4 Slope Intercept Form

Vocabulary

Slope Intercept Form – An equation in the form y = mx + b

Page 8: 5.4 Slope Intercept Form

Slope Intercept Form - Example

Page 9: 5.4 Slope Intercept Form

4. Write an equation of the line given two points.

m = rise run

(0, 4) (5, 3) = -1 5

1. Calculate Slope

2. Write Equation

Y = mx + b

Y = -1x + 4 5

y

x

Page 10: 5.4 Slope Intercept Form

5. Write an equation of the line given two points.

m = rise run

(0, 4)

(4, -2)

= -6 4

1. Calculate Slope

2. Write Equation

Y = mx + b

Y = -3x + 4 2

= -3 2

y

x

Page 11: 5.4 Slope Intercept Form

Write an equation of a line given the following slope and point.

7. Slope is -4; Point is (-1, 3) Step 1: Identify Slope & Pts

m = -4X = -1

Y = mx + bStep 2: Find y-intercept

y =

3 = -4(-1) + b 3 = 4 + b

3

-4 -4-1 = b

Step 3: Write Equation Y = mx + b

Y = -4x + -1

Page 12: 5.4 Slope Intercept Form

Write an equation of a line given the following slope and point.

9. Slope is 1/2; Point is (4, 3) Step 1: Identify Slope & Pts

m = 1/2X = 4

Y = mx + bStep 2: Find y-intercept

y =

3 = 1/2(4) + b 3 = 2 + b

3

-2 -21 = b

Step 3: Write Equation Y = mx + b

Y = 1/2x + 1

Page 13: 5.4 Slope Intercept Form

Write an equation of a line that passes through the following points.

10. (-2, 5) and (2, -1)

Step 1: Identify Slope & Pts

slope =rise = y2 – y1 = run x2 – x1

-1 - 5 =2 - (-2)

x1, y1 x2, y2

-6 =4

-32

Page 14: 5.4 Slope Intercept Form

Write an equation of a line that passes through the following points.

10. (-2, 5) and (2, -1)

Y = mx + bStep 2: Find y-intercept

5 = -3/2(-2) + b

5 = 3 + b -3 -3

2 = b

Step 3: Write Equation

Y = mx + bY = -3/2x + 2

Page 15: 5.4 Slope Intercept Form

Write an equation of a line that passes through the following points.

11. (1, -2) and (-5,4)

Step 1: Identify Slope & Pts

slope =rise = y2 – y1 = run x2 – x1

4 - (-2) =-5 - 1

x1, y1 x2, y2

6 =-6

-1

Page 16: 5.4 Slope Intercept Form

Write an equation of a line that passes through the following points.

11. (1, -2) and (-5,4)

Y = mx + bStep 2: Find y-intercept

-2 = -1(1) + b

-2 = -1 + b +1 +1

-1 = b

Step 3: Write Equation

Y = mx + bY = -1x + -1