5.4 Slope Intercept FormPart B

Practice

X Intercept

Where the line crosses the x axis

Where the line crosses the y axis

Y Intercept

Give the coordinates of the point where each line

crosses the y-axis.1. Y = 3x + 4 - insert 0 for x

y = 3(0) + 4 y = 0 + 4

y = 4 (0, 4)2. y = 2x - 3

y = 2(0) - 3y = 0 - 3

y = -3 (0, -3)

Give the coordinates of the point where each line

crosses the y-axis.3. y = 1/2x

y = 1/2(0) y = 0 (0, 0)

4. y = 2 - x

y = 2 - 0y = 2 (0, 2)

Write an equation for each line.

5. y = mx + b

Slope = 42

B = y-intercept

b = 4

y = mx + by = 2x + 4

= 2

Write an equation for each line.

6. y = mx + b

Slope = - 2 4

B = y-intercept

b = -2

y = mx + b

y = -1/2x - 2

= -1 2

Write an equation for each line.

7. With a slope of 2 and a y-intercept of 4

y = mx + b y = 2x + 4

8. With a slope of -3 and a y-intercept of 1

y = mx + by = -3x + 1

Write an equation for each line.

9. Through (0, -4) and with a slope of 2

y = mx + b y = 2x - 4

10. Through (0, 6) and with a slope of 1/2

y = mx + by = 1/2x + 6

Write an equation for each line.

11. With a slope of -3/4 and a y-intercept of -3

y = mx + b y = -3/4x - 3

12. Through (0,1) and with a slope of 1.5

y = mx + by = 1.5x + 1

Write an equation for the line containing each pair of

points.13.(3, 8), (2, 6)

Step 1: Identify slope and pointsslope =rise = y2 – y1 =

run x2 – x1

6 - 8 =2 - 3

x1, y1 x2, y2

-2 =-1

2

Write an equation for the line containing each pair of

points.13. (3, 8), (2, 6) slope = 2

Y = mx + bStep 2: Find y-intercept

8 = 2(3) + b 8 = 6 + b

-6 -6

2 = b

Step 3: Write Equation

Y = mx + bY = 2x + 2

Write an equation for the line containing each pair of

points.14. (0, -6), (-3, 3)

Step 1: Identify slope and pointsslope =rise = y2 – y1 =

run x2 – x1

3 - (-6) =-3 - 0

x1, y1 x2, y2

9 =-3

-3

Write an equation for the line containing each pair of

points.14. (0, -6), (-3, 3); slope = -3

Y = mx + bStep 2: Find y-intercept

-6 = -3(0) + b -6 = 0 + b

-6 = b

Step 3: Write Equation

Y = mx + bY = -3x - 6

Write an equation for the line containing each pair of

points.15. (-2, -4), (5, -1)

slope =rise = y2 – y1 =

run x2 – x1

-1 - (-4) =5 - (-2)

x1, y1 x2, y2

3 7

Write an equation for the line containing each pair of

points.15. (-2, -4), (5, -1), slope: 3/7

Y = mx + bStep 2: Find y-intercept

-4 = 3/7(-2) + b -4 = -6/7 + b

-22 = b 7

Step 3: Write Equation

Y = mx + bY = 3x - 22 7 7+6/7 = +6/7

Student Study Guide

1. Y = -7x + 52. Y = -5/8 + 23. Y = -4x + 94. Y = 2/5x - 85. Y = 1/5x - 1

Write an equation for the line containing each pair of

points.16. (-1, -2), (-3, -4)

Step 1: Identify slope and pointsslope =rise = y2 – y1 =

run x2 – x1

-4 - (-2) =-3 - (-1)

x1, y1 x2, y2

-2 =-2

1

Write an equation for the line containing each pair of

points.16. (-1, -2), (-3, -4), slope: 1

Y = mx + bStep 2: Find y-intercept

-2 = 1(-1) + b -2 = -1 + b

-1 = b

Step 3: Write Equation

Y = mx + bY = x - 1

+1 = +1