Linear Equations

Finding Slope

100

What is the formula for slope

(Y₂-Y₁)/(X₂-X₁)

200

Find the slope of the line between the following two points. (2,4), (6, 6) - Simplify!

1/2

300

Find the slope of the line between the following two points. (-5, -1), (-1, -9) - Simplify!

-2

400

Find the slope of the line between the following two points. (3, 3), (6, -6) - Simplify!

-3

500

Calculate the slope between these two points: (2, 4), (5, 4) - Simplify! What type of line has this slope?

0 - Horizontal Line!!

Slope Intercept Form

100

What is the equation for Slope intercept form

y=mx+b

200

Determine the slope and y-intercept of the following equation. y = 3x +5

m=3 b=5

300

Write the linear equation in slope intercept form that goes through points (0,4) and (2,10)

y = 3x + 4

400

Write a line in slope intercept form if m = -1 and b = 3

y = -x + 3

500

Write the linear equation that represents a vertical line that goes through the x-axis at 4 

x = 4

Point-Slope Form

100

What is the equation for point slope form

y - y₁=m(x-x₁)

200

Use the following to write your equation in point slope form. m=3 ; (2, 5)

y - 5=3(x-2)

300

Use the following to write your equation in point slope form. m=3; (5, -2)

y + 2 =3(x-5) 

400

Write y + 3 = -2(x+2) from Point Slope Form to Slope Intercept Form.

y=-2x -7

500

Use the following to write your equation in point slope form. (3, 4) (4, 7)

y - 4 =3(x-3)  or y - 7 =3(x-4)

Standard Form

100

What is the equation for standard form

Ax + By = C

200

Find the X and Y intercept of the following equation 3x + 4y = 24

x=8 y=6

300

Find the X and Y intercept of the following equation. 2x + 5y = 60

x=30 y=12

400

Find the X and Y intercept of the following equation. 1/2x + 9y= 18

x=36 y=2

500

Find the X and Y intercept of the following equation. 18x = 162 - 27y

x=9 y=6

Parallel or Perpendicular?

100

y = 3x + 2  ,  y = 3x + 7 

Parallel or Perpendicular?

Parallel

200

y = -2x + 1   ,   y = 1/2x - 1 

Parallel or Perpendicular?

Perpendicular

300

Create a line that is parallel to y = 8x - 4 

Any line that has the slope of 8 and y-intercept of anything other than -4 

400

Create a line that is perpendicular to y = 4/7x + 1 

Any line with the slope of -7/4

500

y = -7x + 1   ,   y = -7x + 1 

Parallel or Perpendicular?

Neither! Ha! It's the same exact line!