Slope
Midpoint & Distance
Linear Function/Standard Form
Direct & Inverse Variation
Finding Intercepts
100
Find the Slope: A (0,0) B (1, 9)
9
100
Find the midpoint of the two points (2, 1) and (-3, 5).

M(-0.5, 3)

100

What does the graph of a linear function look like?

A straight line

100

How do you find k for direct variation?

k = y/x

100
Find x and y intercepts: x + y = 2
x = 2, y = 2
200
Find the slope: (1, 4) (2, 5)
1/1 = 1
200
Find the other point if one endpoint is (9, 0) and the midpoint is (-1, 4).

(-13, 8)

200

How do you identify a linear function from a table?

Both the input and output (x and y) increase at a steady amount

200
How do you find k for inverse variation?

k = xy

200
Find x and y intercepts: -3x + y = 6
x = -2 y = 6
300
Find the slope. A (2, 3) B (5, 8)
5/3
300

Find the endpoint if one endpoint is (3, -2) and the midpoint is (4, 1).

(5, 4)

300

Put into standard form: y = 1/2x - 3

 -x + 2y = -3

300

X and y vary directly. When x = 5, y = 35. Find y when x = 7.

y = 49

300
-2x + y = -6 : Find the x and y intercepts
x = 3 y = -6
400
Find the slope. A (-2, 1) B (3, -5)
-6/5
400

Find the distance between the points (2, -3) and (5,  1).

d = 5

400

Put into standard form: y = 5/2x + 7

-5x + 2y = 14

400

X and y vary inversely. When x = 24, y = 15. Find y when x = 30.

y = 12

400
Find the x and y intercepts: 5x - 3y = 15
x = 3 y = -5
500
Find the slope. (-3, -7) (5, -9)
-12/8 or -3/2
500
Put into slope intercept form: -7x + 2y = 42
y = 21 + 7/2x
500

Put into standard form: (y + 1) = -7(2x + 4)

14x + y = -29

500

Determine if the situation is a direct or inverse variation, find k, and write an equation. Define x and y.

A large field can be prepared by 5 workers in 24 days. In order to finish the field sooner, the farmer plans on hiring more workers. 

y = 120/x

y = time

x = # of workers

500
Find the x and y intercepts: 4x + 12y = -18
x = -9/2 y = -3/2
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