Test pdf to quizziz

Second Six Weeks

Name ___________________________

Algebra 2
Finding Slope from a graph or points
Graphing a line Notes

Date _________________ Period ___

Warm Up:
Find the x- and y-intercept for 3𝑥 − 4𝑦 = 24





Write the equation of a line in slope intercept form that is
parallel to 𝑦 = 3𝑥 + 4 and passes through (0, 9).

SLOPE = …

NOTES

To find the slope of a line:

1.Count the change in the y coordinates (use EXACT points)

a.This is the up/down movement
b.Up is positive, down is negative

2.Count the change in the x coordinates

a.This is the left/right movement
b.Right is positive, left is negative

Vocabulary alert!!

SLOPE

– a ratio that describes the tilt (slant) of a line

𝑡ℎ𝑒 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑦 𝑐𝑜𝑜𝑟𝑑𝑖𝑛𝑎𝑡𝑒𝑠

𝑡ℎ𝑒 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑥 𝑐𝑜𝑜𝑟𝑑𝑖𝑛𝑎𝑡𝑒𝑠

∆𝑦
∆𝑥

𝑦2−𝑦1
𝑥2−𝑥1

𝑟𝑖𝑠𝑒
𝑟𝑢𝑛
OR
OR
OR

Second Six Weeks

Name ___________________________

Algebra 2
Finding Slope from a graph or points
Graphing a line Notes

Date _________________ Period ___

Do you remember Mr Slope Man?

3)

4)

line #2

line #1

Second Six Weeks

Name ___________________________

Algebra 2
Finding Slope from a graph or points
Graphing a line Notes

Date _________________ Period ___

To find the slope between two points algebraically:

1.Substitute the x and y coordinates into the formula

a.First, choose which ordered pair is the 1st and which is the 2nd
b.Either choice will be fine!

2.Simplify the ratio

a.Careful with your negatives
b.Be willing to keep fraction!

EXAMPLES

5)Given: (3, 5) and (1, 11)

6)Given: (-3, -2) and (1, -12)

7)Given: (7, -2) and (2, 18)

8)Given: (-6, 3) and (-6, 10)

9) Given:

x

y

-1 3

0 5

1 7

Second Six Weeks

Name ___________________________

Algebra 2
Finding Slope from a graph or points
Graphing a line Notes

Date _________________ Period ___

Steps for graphing a linear function:

1.Plot point
2.Step off slope from graphed point
3.Repeat step 2 until line is all the way across as well as up and down

Find the slope and y-intercept of the linear equations below, then graph.

1. 𝑦 =

2
3𝑥 − 1m =

b = 2. y = 2x - 5

m =

b =

Second Six Weeks

Name ___________________________

Algebra 2
Finding Slope from a graph or points
Graphing a line Notes

Date _________________ Period ___

3. −4𝑥 + 4𝑦 = 16 m = b = 4. 3x + 2y=-8 m = b =

Horizontal Line: y = b

Vertical Line: x = a

5.Graph y = 3 m = b =

*does not have an x variable so y is always equal to 3!

Second Six Weeks

Name ___________________________

Algebra 2
Finding Slope from a graph or points
Graphing a line Notes

Date _________________ Period ___

6.Graph y = -2 m = b =

*(y is always ______)

7.Graph y = 5 m = b =

*(y is always _____)

8.Graph x = 2 m = b =

*(x is always _____)

9.Graph x = -5 m = b =

*(x is always _____)

10. Graph x = -1 m = b =

*(x is always _____)