SLOPE - SLOPE - SLOPE

Graph - Explain

100

y = 2x + 1

Explain how to graph this equation.

Start at origin. Move up 1 on the y-axis. For the slope move up 2 and 1 to the right. 

200

y = -2/3x - 7

Explain how to graph this equation.

Start at the origin. Move down 7 on the y-axis. For the slope move down 2 and 3 to the right. 

300

y = 6/7x - 5

Explain how to graph this equation.

Start at the origin. Move down 5 on the y-axis. For the slope move up 6 and 7 to the right. 

400

4x + y = 8

Explain how to graph this equation. 

Start at the origin. Move up 8 on the y-axis. For the slope move down 4 and 1 to the right. 

500

2x + 4y = 12

Explain how to graph this equation.

Start at the origin. Move up 3 on the y-axis. For the slope move down 1 and 2 to the right. 

Find the Slope

100

Find the slope (reduced)

(5, 7) and (3, 6)

What is 1/2?

200

(2, 5) and (8, 1)

What is -2/3?

300

Find the slope

(-10, 13) and (11, 0)

-13/21

400

Find the slope

(3, 16) and (-19, 16)

m=0

500

Find the slope

(15, 10) and (15, 15)

slope is undefined

Slope-Intercept Form

100

Write an equation in slope-intercept form when slope = 3 and the y-intercept is 2

What is y = 3x + 2?

200

Write in slope-intercept form: slope = 1/4; y-intercept = -6

What is y = 1/4 x - 6?

300

Identify the slope: y = -5/2 x - 3/4

What is -5/2?

400

Identify the y-intercept: y = 3/4 - 2

What is -2?

500

Write in slope-intercept form: slope = 2; (3, 5)

What is y = 2x -1?

Rewriting Equations in Slope-intercept form

100

Rewrite the equation in slope-intercept form and identify the slope(m) and y-intercept (b)

3x+y=14

y=-3x+14

m=-3, b=14

200

Rewrite the equation in slope-intercept form and identify the slope(m) and y-intercept (b)

2x-y=-13

y=2x+13

m=2, b=13

300

Rewrite the equation in slope-intercept form and identify the slope(m) and y-intercept (b)

x-y=0

y=x

m=1, b=0

400

Rewrite the equation in slope-intercept form and identify the slope(m) and y-intercept (b)

5x+8y=-48

y=-5/8x-6

m=-5/8, b=-6

500

Rewrite the equation in slope-intercept form and identify the slope(m) and y-intercept (b)

3x-2y=10

y=3/2x-5

m=3/2, b=-5

Slope & y-intercept

100

What is the slope and y-intercept?

2x + 4y = 12

slope = -1/2 

y-intercept = 3

200

What is the slope and y-intercept?

 -5x + 3y = 15

slope = 5/3

y-intercept = 5

300

What is the slope and y-intercept? 

1/2x - y = 6

slope = 1/2

y-intercept = -6

400

What is the slope and y-intercept?

-5x - 2y = -14

slope = -5/2

y-intercept = 7

500

What is the slope and y-intercept?

-x - y = -1

slope = -1

y-intercept = 1

Random Slope Facts

100

What is the slope formula?

m=(y_2-y_1)/(x_2-x_1)

200

A line that goes up to the right has a ____________ slope.

A line that goes up to the right has a POSITIVE slope.

300

A line that goes DOWN to the right has a ____________ slope.

A line that goes up to the right has a NEGATIVE slope.

400

A horizontal line has a slope that is _________

A horizontal line has a slope that is  ZERO.

Like y=5 for example.

500

A VERTICAL line has a slope that is ___________

A VERTICAL line has a slope that is UNDEFINED