Aim: How do we find the slope of a line? Warm Up: Go over test. A. Slope 


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1 Aim: How do we find the slope of a line? Warm Up: Go over test A. Slope 
2 Plot the points and draw a line through the given points. Find the slope of the line.. A(5,4) and B(4,3) 2. A(4,3) and B(4,6) 3. A(3,2) and B(4,4) For questions 48 answer the following questions: A. What type of slope is represents by the given line? B. Find the slope of each line Type Type Type Slope = Slope = Slope = Type Type Slope = Slope =
3 Homework Plot the points and draw a line through the given points. Find the slope of the line.. A(,2) and B(,5) 2. A(4,3) and B(4,3) 3. A(5,2) and B(0,4) 4. A(2,2) and B(4,5) 5. A(5,) and B( 2,2) 6. A(3,5) and B(,) What type of slope do the following lines have?
4 Aim: How do we write an equation of a line? Warm Up:.Simplify: 3x(2x+8) 2. Simplify: (4x 3 )(8x 2 ) 3. Estimate 20% of $22.56 A. Writing an Equation from a Graph To write the equation of a line we need 2 pieces of information: & The is the point where the line crosses the The standard equation of a line is The m represents the The b represents the Find the slope, yintercept, and write the equation for each line
5 B. Writing an Equation Given the Slope and yintercept What is the standard equation of a line? The m represents the and the b represents the Write the equation of each line given:. Slope = 4 2. Slope = 3. Slope = /3 4. Slope = 3 yinter = 3 y inter = 8 y inter = 2 y inter = Slope = Slope = ½ 7. Slope = 8. Slope = 3 5 yinter = 0 y inter = 3 y inter = 6 y inter = 6 C. Find the Slope and yintercept from an Equation Find the slope or yintercept of each line.. y = 3x y = 5x + 3. y = x 7 4. y = 2x 8 Slope = Slope = y inter = yinter = 5. y = ½ x 6. y = x y = 2x 8. y = 2x + 4 Slope = Slope = y inter = yinter =
6 Equation of a Line Day 2 Find the slope and yinercept. Write the equation of each line Slope = Slope = Slope = yinter = yinter = yinter = Equation Equation Equation Slope = yinter = Equation Equation Equation Slope = Slope = yinter = yinter = Equation Equation Equation
7 0. Given y = 3x + 5, what is the slope of the line?. Given y = 4x 7, what is the y intercept of the line? 2. Given y = x 4, what is the slope? 3. If the slope of a line is ½ and the yintercepts is 3, what is the equation of the line? 4. What is the slope of a line whose equation is y = ½x  2? 5. What is the slope and yintercept of a line whose equation is y = x + 4? 3 Draw the line through the given points and find the slope. 6. A(,2) and B(,4) 7. A(3,4) and B(3,5) 8. A(5,4) and B(5,4) Write the equation of the line given: m = 6 and b = 2 2. m = 5 3 and b = m = 3 and b = m = 2 and b = The slope is and the yintercept is . 4 Homework p. 647 #9
8 Aim: How do we graph a linear equation using the slope and yintercept? Warm Up: Find the slope and yintercept of each.. y = 3x y = 2x y = 4x y = ½x 5. y = x + 4 A. Steps for Graphing using slope/yintercept. Write in slope intercept form y = mx + b 2. Find the slope and yintercept 3. Plot the yintercept 4. Use the slope to get additional points (at least 3) 5. Connect and extend 6. Label. y =4x y = 3x y= 3x y = 2/3 x 6 5. x = 4 6. y = 3 Give additional examples Homework (Graph Paper) p.647 #022 even
9 Aim: How do we write a linear equation in standard form? Warm Up:. Given y = 4x 5, what is the slope of the line? 2. If the slope of a line is 2 and the yintercept is 3, what is the equation of the line? 3. Sketch the graph of a line whose slope is zero. A. Writing Equations in Standard Form (Function Form/ Slope/yintercept Form) What is the standard equation of a line? What do the m and b represent? Write in Standard Form.. 3x + y = 8 2. x + y = x 2y = x y = x = y y 3x = x + 3y = y 2x = x + y = x + y = 2. x + y = x + y = 5 Write in standard form and Graph using slope/yintercept. 3. y 2x = x + y = x + 4y = 6
10 Standard Form Homework Write in Standard Form.. 2x + y = 5 2. x + 2y = x 4y = 8 4. x y = x = y + 6. y 4x = x + 5y = y 2x = 2 Write in standard form and Graph 9. 3x + 2y = x + 3y = 2. x + 2y = 6
11 Aim: How do we graph a linear equation using a table? Warm Up: Quiz A. Steps for Graphing a linear equations using a table: y = 2x y = 3 x + 2 x y (x,y) x y (x,y) 3. 2x + y = 4. 4y + 2x = 6 x y (x,y) x y (x,y)
12 Graph each line using a table of values. Table Method Homework. y = 3x y = 2 x + x y (x,y) x y (x,y) 3. 3x + y = y + 6x = 9 x y (x,y) x y (x,y)
13 Name Function Rule Write the function Rule for each table, find the missing values and graph the line ) x y ) x y ) x y
14 4) x y ) x y ) x y Homework Function Rule Ditto
15 Graphing Review. What is the standard equation of a line? 2. What do the m and b represent in a linear equation? Find the slope and yintercept of each: 2 3. y = x 4 4. y + 7 = 3x 5. y 2x = 8 6. y + 5 = x 3 7. x + y = 6 Given the slope and yintercept, write the equation of each line. 8. Slope = Slope = 0. Slope = 8. Slope = ½ yinter = 2 y inter = 0 y inter = 3 y inter = 5 Find the slope of each line Graph each line. 5. y = 3x y = ½x 3 7. y = x x + y = 5
16 9. Given the equation: y = 3x + 5 complete the table and graph the equation. x Y=3x + 5 y (x,y) Write a function rule for each: 20. x y x y Solve: 3(x + 3) 2x = 3x Solve: 9x + 6 = 7x 24. A $48 shirt is on sale for 30% off. Find the sale price. 25. Simplify: (3x 5 )(7x 8 ) 26. What is the complement of 70? 27. What is the measure of x? 28. What is the measure of x? What is the measure of y? y 30 x 60 x
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