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Unit 2 Inequality Quiz 2( 3n + 7) > 5n -3 (3x + 5) > -5 (2x – 2)

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**Steps Writing Equations of a Line Y = mX + b Graph y = 1/2 x -2**

m = slope of line b = y intercept/ starting point (X,Y) = coordinates Graph y = 1/2 x -2 Steps 1. Plot 1st point on Y- intercept 2. Plot slope from 1st point 3. connect points with ruler 4. sign line at end X Intercept = Y Intercept =

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**Y = 2/1 X -3 Steps Writing Equations of a Line Y = mX + b**

m = slope of line b = y intercept/ starting point (X,Y) = coordinates Y = 2/1 X -3 Steps 1. Plot 1st point on Y- intercept 2. Plot slope from 1st point 3. connect points with ruler 4. sign line at end

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**How do we find slope without using a coordinate plane?**

Y2 - Y1 Slope= ______ ________ X2 - X1

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**Y = m x + b Finding equation of a line with given slope and 1 point**

(0,4) Steps 1. Plug given points into equation. 2. Solve for b. 3. Write equation. Slope = 1/2 (2,1)

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

X Intercept = Y Intercept = Test Point (0,0) and Shade

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**Graph -3y > 1 x +9 Using table of values. y X X Intercept =**

Y Intercept = Test Point (0,0) and Shade

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

Graphing Inequalities Translate into equation 1. Y = 1/2 x - 2 2. Fill in table of values 3. Graph line 4. Shade after testing point Graph y > 1/2 x -2 Using a table of
values. X y X Intercept = Y Intercept =

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How could we solve?? Is the point (3,5) on the line 3x + 2y = 1

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**Madeline spent 120 minutes working on an English essay**

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?

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**Given 2 points graph a linear equation**

Steps: x y x y (1, 3) (3,4) 1. Find Slope Y2 - Y1 Slope = ______ ________ X2 - X1 m= 2. Sub 1 point and slope into equation. 3. Solve for b b= 4. Rewrite equation in proper form. 5. Graph

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Y= mx + b Graph y = 1/2 x -2 Plot x y Graph 2y -6 = 4x x y Plot

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**m= m= b= b= Write in slope-intercept form. x + y = 12 4x -3y = 0**

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.

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**Given 2 points graph a linear equation**

Steps: x y x y (1, 3) (3,4) 1. Find Slope Y2 - Y1 Slope = ______ ________ X2 - X1 m= 2. Sub 1 point and slope into equation. 3. Solve for b b= 4. Rewrite equation in proper form. 5. Graph

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Graph the Equation y - 6 = 3( x - 4) y + 1 = 2( x - 5)

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x y 1 2 2 4 3 6 4 8 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 y 1 2 2 4 2 6 4 8 Domain = X Range=Y

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**Write coordinates of each point listed**

B C D E A C E B D

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Quadrants 1 2 3 4

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State type of slope 1. 2. 3. 4. 3 2 1 4

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

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**Find slope of line passing through given points.**

(-4,1) and (3,4) Steps 1.Plot points 2.Count rise over run M= Rise Run

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**Find slope of line passing through given points.**

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

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**Finding Slope from an Equation**

Steps 1. Put equation in proper Y= MX +B form 2. Identify slope M = Slope B = Y intercept or Starting Point y = − 5 /2 x − 5 y = −4x − 1 2x − y = 1 −2y − x = 0 Finding slope from an equation

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**Finding Slope without using a Graph**

Steps 1. Substitute Coordinates
into slope formula. 2. Solve for M. (slope) Y2 - Y1 ______ X2 - X1 M = X,Y X,Y ( 2 ,3 ) ( 4, 4) X,Y X,Y ( -2 ,3 ) (4, -4) X,Y X,Y (-27,36) (14, -47)

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Graph the given line Y= 2x - 3 Make table for given line X Y

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**1. Plug equation into calculator**

Determine if the given point is on the given line: X Y Y= 2X (1,4) Steps 1. Put equation in Y=mx+b form 2. Graph on coordinate plane 3. Check points or 1. Plug equation into calculator 2. Check points on table Or 1. Substitute Values of X and Y into
equation 2. Simplitfy Equation 3. Are both sides equal?

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**1. Plug equation into calculator**

Determine if the given point is on the given line: X Y x = -4Y + 9 (1,2) Steps 1. Put equation in Y=mx+b form 2. Graph on coordinate plane 3. Check points or 1. Plug equation into calculator 2. Check points on table

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Evaluate f(x) Given f(x) = 3x and g(x) = 1/2 x + 7, evaluate: 1. f (-3) 2. g (6)

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Bonus 24 X X = -2 (4 + 7X)

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Writing an Equation Using Two Points Goal: to write an equation of a line, in slope intercept form, that passes through two points.

Writing an Equation Using Two Points Goal: to write an equation of a line, in slope intercept form, that passes through two points.

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