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Topic 1 Topic 2 Topic 3 Topic 4 Topic 5 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 Question 1 - 10 • Find the slope of the line through each pair of points. • (8,-9) (4,3) Answer 1 – 10 • (8,-9) (4,3) Question 1 - 20 • identify the slope and the y-intercept y = 7x + 3 Answer 1 – 20 slope:____7___ y-int:____3___ Question 1 - 30 • Write the equation of a line in slope-intercept form given the following: through the points (-3, 9) and (4, 16) Answer 1 – 30 • points (-3, 9) and (4, 16) = 16-9 = 7 = 1 4-(-3) 7 y=mx+b 16=1(4) + b 16=4 + b -4 -4 12 = b Equation: y = x + 12 Question 1 - 40 y=(-1/2)x + 3 a. Is the point (6, 0) on the line? b. Is the point (6, 0) a solution to this linear equation? Answer 1 – 40 y=(-1/2)x + 3 a. Is the point (6, 0) on the line? 0=(-1/2)(6) + 3 0=-3 + 3 0=0 YES b. Is the point (6, 0) a solution to this linear equation? YES Question 1 - 50 • Find the slope, yintercept – if any, then write the equation of the line in slope-intercept form for the following. Answer 1 – 50 slope:__0___ y-int:__3_____ Equation:_y=3_ Question 2 - 10 Fill in the slope and y-intercept for the following equations, then graph the line on the provided grid. y y=2x x Answer 2 – 10 y=2x Slope:_2___ y-Intercept:__0___ Question 2 - 20 • identify the slope and the y-intercept y = (2/5)x – 5 Answer 2 – 20 slope:__2/5___ y-int:___-5___ Question 2 - 30 • Find the slope, yintercept – if any, then write the equation of the line in slopeintercept form for the following. Answer 2 – 30 slope:__undefined___ y-int:_n/a_____ Equation:_x=2_ Question 2 - 40 • Write the equation of a line in slope-intercept form given the following: slope of -4 , through the point (-3, 4) Answer 2 – 40 slope of -4 , through the point (-3, 4) y=mx+b 4=-4(-3) + b 4=12 + b -12 -12 -8 = b Equation: y=-4x-8 Question 2 - 50 • identify the slope and the y-intercept • y = -3x + 6 Answer 2 – 50 slope:___-3__ y-int:___6___ Question 3 - 10 • Find the slope of the line through each pair of points. • (6,4) (10,4) Answer 3 – 10 • (6,4) (10,4) Question 3 - 20 Fill the table below to find solutions to the equation: y=(-1/2)x + 3 X -4 -2 0 2 4 Y Answer 3 – 20 y=(-1/2)x + 3 Question 3 - 30 Fill in the slope and y-intercept for the following equations, then graph the line on the provided grid. y y=(-3/4)x + 5 x Answer 3 – 30 y=(-3/4)x + 5 Slope:_-3/4___ y-Intercept:__5____ Question 3 - 40 • identify the slope and the y-intercept • y = -x – 5 Answer 3 – 40 slope:__-1____ y-int:__-5____ Question 3 - 50 Graph y=(-1/2)x + 3 y x Answer 3 – 50 Question 4 - 10 • Find the slope, yintercept – if any, then write the equation of the line in slopeintercept form for the following. Answer 4 – 10 slope:__-3/2___ y-int:__1_____ Equation:_y=(-3/2)x+1_ Question 4 - 20 • Write the equation of a line in slope-intercept form given the following: through the points (1, 0) and (3,4) Answer 4 – 20 points (1, 0) and (3,4) = 4-0 = 4 = 2 3-1 2 y=mx+b 4=2(3) + b 4= 6 + b -6 -6 -2 = b Equation: y = 2x - 2 Question 4 - 30 • identify the slope and the y-intercept y = 12x Answer 4 – 30 slope:__12___ y-int:__0____ Question 4 - 40 identify the slope and the y-intercept y=-3x + 7 Answer 4 – 40 y=-3x + 7 slope:__-3___ y-int:__7___ Question 4 - 50 y=(-1/2)x + 3 a. Is the point (2, 5) on the line? b. Is the point (2, 5) a solution to this linear equation? Answer 4 – 50 y=(-1/2)x + 3 a. Is the point (2, 5) on the line? 5=(-1/2)(2) + 3 5=-1+3 5=2 NO b. Is the point (2, 5) a solution to this linear equation? NO Question 5 - 10 Find the x-intercept and y-intercept for the equation, then use the x and y intercept points to graph the line. 4x+3y=12 Answer 5 – 10 Question 5 - 20 Write the equation of a line in slope-intercept form given the following: slope of 3, through the point (0, -4) Answer 5 – 20 • slope of 3, through the point (0, -4) y=mx+b -4=3(0) + b -4=b Equation: y=3x-4 Question 5 - 30 Find the x-intercept and y-intercept for the equation, then use the x and y intercept points to graph the line. y=(2/3)x + 2 Answer 5 – 30 y=(2/3)x + 2 X-intercept 0=(2/3)x + 2 -2=(2/3)x -3=x Y-intercept y=(2/3)(0) + 2 y=0+2 y=2 Question 5 - 40 • Find the slope, yintercept – if any, then write the equation of the line in slopeintercept form for the following. Answer 5 – 40 slope:___2____ y-int:__-1_____ Equation:_y=2x-1_ Question 5 - 50 • identify the slope and the y-intercept y = 6 - 4x Answer 5 – 50 slope:___-4___ y-int:___6____