Slope Intercept Form

Finding Slope

100

What is the equation for slope

(Y2-Y1)/(X2-X1)

200

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

1/2

300

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

-2

400

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

-3

500

Find the slope of the line between the following two points. (2, 4), (5, 4)

0

Finding Slope and Y-intercept

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

Determine the slope and y-intercept of the following equation. y = -2x +9

m=-2 b=9

400

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

m=-1 b=3

500

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

m=1 b=3

X & Y Intercepts

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. 2/3x + 9y= 18

x=27 y=2

500

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

x=9 y=6

WILDCARD

100

Simplify: 4³ x 4²

Answer: 4⁵ (or 1,024)

• Why? When multiplying exponents with the same base, you add the powers (3 + 2 = 5).

200

Solve for y:
3y - 7 = 14

Answer: y = 7

• Why? Add 7 to both sides (3y = 21), then divide both sides by 3 (y = 7).

300

Proportions: A recipe calls for 2 cups of sugar to make 24 cookies. How many cups of sugar are needed to make 36 cookies?

Answer: 3 cups of sugar.

400

Geometry (Pythagorean Theorem): A right-angled triangle has two legs measuring 5 inches and 12 inches. What is the length of the hypotenuse (the longest side)?

Answer: 13 inches.

• Why? Using the Pythagorean Theorem (a² + b² = c²), we get 5² + 12² = c². This becomes $25 + 144 = c², so $169 = c². The square root of 169 is 13.

500

Solve: 5⁰ x 10¹

Answer: 10
 
(Anything with an exponent of 0 just equals 1.

Two points

100

Use the following to write your equation in slope intercept form. (-1, -1), (1, 5)

y=3x + 2

200

Use the following to write your equation in slope intercept form. (2, 4), (5, -2)

y= -2x + 8

300

Use the following to write your equation in slope intercept form. (-3, 0), (6,3)

y=1/3x + 1

400

Use the following to write your equation in slope intercept form. (-2, 3), (2,7)

y=x+5

500

Use the following to write your equation in slope intercept form. (4, 1), (8,2)

y=1/4x