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HW34 Graph each equation. x = {-2 ~ 2} 1. y = x 2. x = 2y - 3 3. y = 3x + 1 5. Find the equation of the line whose slope is 0 and the coordinates of the yintercept are (0,1). 6. Find the equation of the line whose slope is no slope and the coordinates of the y-intercept are (2,0). HW35 HW39:Draw a line with the given slope m, through the given point. 1. m = zero, (2,5) 2. m = no slope, (0,-3) 3. m = 2, (1,3) 4. m = -1, (-2,3) a) Which numbered lines have a positive slope? b) Which numbered lines have a negative slope? c) What slope has the horizontal line 5? d) What slope has the vertical line 6? HW36 Find the slope 1. ( 8 , 9 ) and ( 6 , 1 ) 2. ( 6 , 6 ) and ( 2 , 3 ) 3. ( 4 , 0 ) and ( 8 , 8 ) 4. ( 4 , 4 ) and ( 5 , 0 ) 5. ( 9 , 7 ) and ( 1 , 5 ) 6. ( 2 , 6 ) and ( 3 , 2 ) HW37: In each case, find the slope, yintercept of the line that is the graph of the equation. 1. y = 3x + 1 2. y - 4x = 6 3. y - 2x = 3 4. 2y = 6x + 4 5. -3y + 9x = -12 HW38 1. Find the slope and y-intercept for the equation y = -2x + 3. 2. Find the slope and y-intercept for the equation 4y = -8x + 12. 3. Find the equation of the line whose slope is 3 and the coordinates of the yintercept are (0,4). 4. Find the equation of the line whose slope is -2 and the coordinates of the yintercept are (0,-3). HW40: Find the x and y intercepts 1. y - 2x= 7 2. y + 3x -10 = 0 3. y = 10x – 3 4. y + 7x = 11 5. y + 20 = 4x 6. y = -12x – 8 HW41: 1. Find the equation of the line whose slope is 1 and the coordinates of the yintercept are (0,2). 2. Find the equation of the line whose slope is 3 and the coordinates of the yintercept are (0,-1). 3. Find the equation of the line whose slope is -2 and the coordinates of the yintercept are (0,-3). 4. Given that the slope of a line is -3 and the line passes through the point (-2,-1), write the equation of the line. HW42: Write the equation 1. (5,-2) and (7,-8) 2. (4,2) and (8,2) 3. (-1,3) and (2,3) 4. (0,0) and (4,4) 5. (3,-6) and (0,0) HW43 1) Is the equation y = 4x + 2 parallel to 2y - 4x = 3? 2) Is the equation 2y = 3x + 1 parallel to 5y + x = -4? 3)Is the equation 3y = 6x - 1 parallel to 2y + 4x = 3? 4)Find the slope of a line parallel to a 2 line whose slope is 3 5)Find the slope of a line parallel to a 4 line whose slope is 5 HW48: solve each system of equation graphically, and check 1) y = 2x + 5 2) x + y = 1 y=x+4 x-y=7 HW44 1) Find the slope of the line perpendicular to a line whose slope is 2 3) y = -2x+1 y=x+4 2) Find the slope of the line perpendicular to a line whose slope is -3 3) Find the slope of the line perpendicular to a line 5 whose slope is 3 4) Find the slope of a line perpendicular to the line whose equation is y -x = 2. 5) Find the slope of a line perpendicular to the line whose equation is 2y -4x = 6. HW45 Find x 1. l x l + 2 = 20 2. l x l - 6 = 5 3. 3l x l + 9 = 27 4. -2l x l + 6 = 2 5. l x l + 6(2) = 2 6. l x l -2(5) = 6 3) x = 4 y = -3x + 10 4) y = x - 2 y = 3x - 16 HW50: solve each system of equations by using substitution to eliminate one of the variables. Check. 1. a = -2b 2. y = x + 1 5a - 3b = 13 x+y=9 3. a = 3b + 1 5b - 2a = 1 HW52 Solve and check: 1. -x - y = -4 -x + 2y = -16 HW46: graph each equation. 1. y = lxl - 1 2. y = lxl + 3 3. y = lx - 1l 4. y = lx + 3l 5. y = 2lxl 3. x + y = 8 x - y = 16 HW47: Graph the system below by finding the x and y intercepts for each line and find the solution HW49:Solve this system of equations using substitution. 1) y = x + 1 2) x = 5 y = 2x y=x+2 . 2. 3x + 6y = 18 3x + 3y = -12 4. 2a + 2b = 4 2a - 2b = 10 HW53: Solve the following using addition. 1. -2x + y = 4 2. 2x + y = 3 8x + y =10 -8x + y = - 8 3. y = 2x – 4 y = -8x + 46 4. -3x +y = 5 x–y=6 HW54: Find the solution and check 1. 5x - 2y = 8 2. 3x + 7y = -2 3x - 7y = -1 2x + y = -3 3. 4x + 3y = -1 5x + 4y = 1 HW55: 1. At a lunch counter, 3 pretzels and 1 cup of soda cost $2.75. Two pretzels and one cup of soda cost $2. Find the cost of a pretzels and a soda 2. The owner of a man's clothing store bought six belts and eight hats for $140. A week later, at the same prices, he bought nine belts and six hats for $132. Find the price of a belt and the price of a hat