Unit 2 Inequality Quiz2( 3n + 7) > 5n

-3 (3x + 5) > -5 (2x – 2)

Writing Equations of a Line

Y = mX + b m = slope of lineb = y intercept/ starting point(X,Y) = coordinates

Steps 1. Plot 1st point on Y- intercept 2. Plot slope from 1st point3. connect points with ruler4. sign line at end

Graph y = 1/2 x -2

X Intercept =

Y Intercept =

Writing Equations of a Line

Y = mX + b m = slope of lineb = y intercept/ starting point(X,Y) = coordinates

Steps 1. Plot 1st point on Y- intercept 2. Plot slope from 1st point3. connect points with ruler4. sign line at end

Y = 2/1 X -3

How do we find slope without using a   coordinate plane?

  Y2 - Y1

Slope= ______ ________

    X2 - X1

Finding equation of a line with given slope

and 1 point

Y = m x + bSlope = 2

(0,4)

Steps

1. Plug given points into equation.

2. Solve for b.

3. Write equation.

Slope = 1/2

(2,1)

1. Plug given points into equation.

2. Solve for b.

3. Write equation.

Graph 6y < 6 x -12 Using table of values.

X y

X Intercept =

Y Intercept =

Test Point (0,0) and Shade

Graph -3y > 1 x +9 Using table of values.

X y

X Intercept =

Y Intercept =

Test Point (0,0) and Shade

Graph y > 1/2 x -2 Using a table of values.

X y

X Intercept =

Y Intercept =

Graphing InequalitiesTranslate into equation1. Y = 1/2 x - 22. Fill in table of values3. Graph line4. Shade after testing point

Is the point (3,5) on the line 3x + 2y = 1

How could we solve??

Madeline spent 120 minutes working on an English essay. On Tuesday, she spent 20 minutes linger than on Monday, and on Wednesday, she spent rwice as long as she did on Tuesday. How many minutes did she spend working on the essay each day if she finished on Wednesday?

Given 2 points graph a linear equation

  Y2 - Y1

Slope = ______ ________

    X2 - X1

Steps:

1. Find Slope

2. Sub 1 point and slope into equation.

3. Solve for b

4. Rewrite equation in proper form.

5. Graph

(1, 3) (3,4)x y x y

m=

b=

Y= mx + b

Graph y = 1/2 x -2

Plot

x y

Graph 2y -6 = 4x

Plot

x y

Write in slope-intercept form.

x + y = 12 4x -3y = 0

m= m=b=  b=

Finding equation of a line with given slope and 1 point

Slope = 2 (0, 4)

Steps

1. Plug given points into equation.

2. Solve for b.

Given 2 points graph a linear equation

  Y2 - Y1

Slope = ______ ________

    X2 - X1

Steps:

1. Find Slope

2. Sub 1 point and slope into equation.

3. Solve for b

4. Rewrite equation in proper form.

5. Graph

(1, 3) (3,4)x y x y

m=

b=

Graph the Equation

y - 6 = 3( x - 4)

y + 1 = 2( x - 5)

Formal Definition of a Function A function relates each element of a set with exactly one element of another set(possibly the same set).

X Does Not Repeat

x y1 22 43 64 8

x y1 22 42 64 8

Domain = X Range=Y

Write coordinates of each point listed

AB C D E

A

B

C

D

E

12

3 4

Quadrants

State type of slope

1.

2.

3.

4.

1

2

3

4

http://kutasoftware.com/FreeWorksheets/Alg1Worksheets/Slope%20From%20a%20Graph.pdf

Find slope of line passing through given points.

(-4,1) and (3,4)

Steps 1.Plot points2.Count rise over run

M= Rise   Run

Find slope of line passing through given points.

(1,1) and (3,-4)

http://kutasoftware.com/FreeWorksheets/Alg1Worksheets/Slope%20From%20an%20Equation.pdf

Finding slope from an equation

Finding Slope from an Equation

y = − 5 /2 x − 5 y = −4x − 1

2x − y = 1 −2y − 10 + 2x = 0

Steps1. Put equation in proper Y= MX +B form 2. Identify slope  

B = Y intercept or Starting Point

M = Slope

Finding Slope without using a Graph

Y2 - Y1______

X2 - X1

M =

X,Y X,Y( 2 ,3 ) ( 4, 4)

Steps1. Substitute Coordinates  into slope formula.2. Solve for M. (slope)

X,Y  X,Y( -2 ,3 ) (4, -4)

X,Y  X,Y(-27,36) (14, -47)

http://kutasoftware.com/FreeWorksheets/Alg1Worksheets/Slope%20From%20Two%20Points.pdf

Graph the given line

Y= 2x - 3

X Y

Make table for given line

Determine if the given point is on the given line:

Y= 2X + 2 (1,4) X Y

Steps1. Put equation in Y=mx+b form2. Graph on coordinate plane3. Check points

or 1. Plug equation into calculator2. Check points on table

Or

1. Substitute Values of X and Y into equation2. Simplitfy Equation3. Are both sides equal?

Determine if the given point is on the given line:

x = -4Y + 9 (1,2) X Y

Steps1. Put equation in Y=mx+b form2. Graph on coordinate plane3. Check points

or

1. Plug equation into calculator2. Check points on table

Evaluate f(x)

Given f(x) = 3x-2 and g(x) = 1/2 x + 7, evaluate:

1. f (-3)

2. g (6)

Bonus

24 X + 8 + 10X = -2 (4 + 7X)