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Module 2 Topic 1 Review

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  • Line a has the equation y=(3/5)x+5 and line b has the equation y=(5/3)x+7. Are they parallel, perpendicular, or neither?
    Neither
  • Given the following information, would you write the equation in POINT-SLOPE FORM, or SLOPE-INTERCEPT FORM slope: -5, y intercept: 3
    SLOPE-INTERCEPT FORM
  • Find the x-intercept and y-intercept for the following linear function. -5x-2y=20
    x-intercept (-4,0) y-intercept (0,-10)
  • Write the equation of a line that passes through points (-5,-6) and (0,5). You must write your answer in slope-intercept form.
    y=(11/5)x+5
  • Write the equation of a line that passes through (8,0) and is perpendicular to the line y=3x-6
    (y-0)=(-1/3)(x-8) or y=(-1/3)(x-8)
  • Given the following information, would you write the equation in POINT-SLOPE FORM, or SLOPE-INTERCEPT FORM slope: 2/5 and the point (2, -3)
    POINT-SLOPE FORM
  • Write the equation of a line that passes through (8,0) and is parallel to the line y=3x-6
    (y-0)=3(x-8) or y=3(x-8) or y=3x-24
  • If f(x)=2x+4, and then we transform it by doing f(x)-3, describe how the graph will change.
    It is a vertical shift down. The y-intercept will be different,  and the whole graph will be 3 units "lower".
  • Write a linear equation for the graph given
    y=x+2
  • Using the graph below, at what time is the water in the tank only 3 feet deep?
    4 PM
  • Using the graph to determine when f(x)=1 and the value of f(1)
    f(x)=1 when x=-1, and f(1)=3
  • Write the equation of the line that passes through points (2,-3) and (4,5). Your answer must be in slope-intercept form.
    y=4x-11
  • Find the slope, and y-intercept y-4=(1/3)(x+12)
    Slope, m=1/3. y-intercept, b=(0,8)
  • A new vampire joins a coven and altogether they number 13. Over the next 3 days, they turn 18 more vampires (a) Write a linear equation for this situation, (b) Determine how many vampires will be in the coven after 23 days.
    (a) y=6x+13 (b) 151 vampires
  • Line a has the equation y=(2/3)x+5 and line b has the equation y=(-3/2)x+7. Are they parallel, perpendicular, or neither?
    Perpendicular
  • Given the following information, would you write the equation in POINT-SLOPE FORM, or SLOPE-INTERCEPT FORM (2,-3) and (0,5)
    EITHER
  • Find the slope, and y-intercept y=(-2/3)x+4
    slope, m=-2/3. y-intercept, b=(0,4)
  • If you order a pizza, delivery is going to cost you 8.50, and then .50 cents for every topping you order. Write a linear model (equation). What is the cost if you get a pizza with three toppings?
    y=0.5x+8.5 and $10.
  • Line a has the equation y-8x=5 and line b has the equation y=(-1/8)x+7. Are they parallel, perpendicular, or neither?
    Perpendicular
  • Find the x-intercept and y-intercept for the following linear function. x-y=7
    x-intercept (7,0) and y-intercept (0,-7)
  • Decide whether the data in each table is linear. If it is, write a linear equation in slope-intercept form to model it.
    y=(4/3)x+9
  • Decide whether the data in each table is linear. If it is, write a linear equation in point-slope form to model it.
    Slope is zero. Points may vary.
  • Find the x-intercept and y-intercept for the following linear function. 4x-12y=24
    x-intercept (6,0) y-intercept (0,-2)
  • Write a linear equation for the graph given.
    y = (-3/2)x + 3
  • Your friend says that the answer to finding the x and y intercept for 2x+3y=6 is (3,2). Are they correct?
    No. The correct answer is (3,0) and (0,2)