slope

  1. math_celebrity

    A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is

    A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis? Slope = Rise/Run or y/x Since tests are on the y-axis and time is on the x-axis, we...
  2. math_celebrity

    Line m passes through points (3, 16) and (8, 10). Line n is perpendicular to m. What is the slope of

    Line m passes through points (3, 16) and (8, 10). Line n is perpendicular to m. What is the slope of line n? First, find the slope of the line m passing through points (3, 16) and (8, 10). Typing the points into our search engine, we get a slope of: m = -6/5 If line n is perpendicular to m...
  3. math_celebrity

    A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is

    A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis? Slope is y/x,so we have 27/36. Using our fraction simplifier, we can reduce 27/36 to...
  4. math_celebrity

    A mother gives birth to a 6 pound baby. Every 4 months, the baby gains 4 pounds. If x is the age of

    A mother gives birth to a 6 pound baby. Every 4 months, the baby gains 4 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y = mx b that describes the baby's weight. The baby gains 4 pounds every month, where x is...
  5. math_celebrity

    Which of the following equations represents a line that is parallel to the line with equation y = -3

    Which of the following equations represents a line that is parallel to the line with equation y = -3x + 4? A) 6x + 2y = 15 B) 3x - y = 7 C) 2x - 3y = 6 D) x + 3y = 1 Parallel lines have the same slope, so we're looking for a line with a slope of 3, in the form y = mx + b. For this case, we...
  6. math_celebrity

    Find a linear function f, given f(16)=-2 and f(-12)=-9. Then find f(0)

    Find a linear function f, given f(16)=-2 and f(-12)=-9. Then find f(0). We've got 2 points: (16, -2) and (-12, -9) Calculate the slope (m) of this line using: m = (y2 - y1)/(x2 - x1) m = (-9 - -2)/(-12 - 16) m = -7/-28 m = 1/4 The line equation is denoted as: y = mx + b Let's use the first...
  7. math_celebrity

    Choose the equation of a line in standard form that satisfies the given conditions. perpendicular to

    Choose the equation of a line in standard form that satisfies the given conditions. perpendicular to 4x + y = 8 through (4, 3). Step 1: Find the slope of the line 4x + y = 8. In y = mx + b form, we have y = -4x + 8. The slope is -4. To be perpendicular to a line, the slope must be a negative...
  8. math_celebrity

    A mother gives birth to a 10 pound baby. Every 2 months, the baby gains 5 pounds. If x is the age o

    A mother gives birth to a 10 pound baby. Every 2 months, the baby gains 5 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y = mx + b that describes the baby's weight. If the baby gains 5 pounds every 2 months...
  9. math_celebrity

    A mother gives birth to a 7 pound baby. Every 3 months, the baby gains 2 pounds. If x is the age of

    A mother gives birth to a 7 pound baby. Every 3 months, the baby gains 2 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y = mx + b that describes the baby's weight. Every month, the baby gains 2/3 of a pound...
  10. math_celebrity

    a family went to a baseball game. the cost to park the car was $5 AND THE COST PER TICKET WAS $21. W

    a family went to a baseball game. the cost to park the car was $5 AND THE COST PER TICKET WAS $21. WRITE A LINEAR FUNCTION IN THE FORM Y=MX+B, FOR THE TOTAL COST OF GOING TO THE BASEBALL GAME,Y, AND THE TOTAL NUMBER PEOPLE IN THE FAMILY,X. We have: y = 21x + 5 Since the cost of each ticket is...
  11. math_celebrity

    If the equation of a line passes through the points (1, 3) and (0, 0), which form would be used to w

    If the equation of a line passes through the points (1, 3) and (0, 0), which form would be used to write the equation of the line? Typing (1,3),(0,0) into the search engine, we get a point-slope form: y - 3 = 3(x - 1) If we want mx + b form, we have: y - 3 = 3x - 3 Add 3 to each side: y = 3x
  12. math_celebrity

    The slope of a roof is called its pitch. The Parthenon, an ancient Greek temple, has a roof with a r

    The slope of a roof is called its pitch. The Parthenon, an ancient Greek temple, has a roof with a rise of 3.6 meters and a run of 12 meters. What is the pitch of the roof? Enter your answer in the box. Slope is rise over run. Slope = 3.6/12 Slope = 0.3
  13. math_celebrity

    The points -5, -24 and 5,r lie on a line with slope 4. Find the missing coordinate r. Slope = (y2 -

    The points -5, -24 and 5,r lie on a line with slope 4. Find the missing coordinate r. Slope = (y2 - y1)/(x2 - x1) Plugging in our numbers, we get: 4 = (r - -24)/(5 - -5) 4 = (r +24)/10 Cross multiply: r + 24 = 40 Subtract 24 from each side: r = 16
  14. math_celebrity

    The points 6,4 and 9,r lie on a line with slope 3. Find the missing coordinate r.

    The points 6,4 and 9,r lie on a line with slope 3. Find the missing coordinate r. Slope = (y2 - y1)/(x2 - x1) Plugging in our numbers, we get: 3 = (r - 4)/(9 - 6) 3 = (r - 4)/3 Cross multiply: r - 4 = 9 Add 4 to each side: r = 13
  15. math_celebrity

    Find y if the line through (1,y) and (4,5) has a slope of 3

    Find y if the line through (1,y) and (4,5) has a slope of 3. Slope formula is: m = (y2 - y1)/(x2 - x1) With m = 3, we have: 3 = (5 - y)/(4 - 1) 3 = (5 - y)/3 Cross multiply: 5 - y = 9 Subtract 5 from each side -y = 4 Multiply each side by -1 y = -4
  16. math_celebrity

    The slope of a line is 7/6. What is the slope of any line parallel to this line?

    The slope of a line is 7/6. What is the slope of any line parallel to this line? Parallel lines have the same slope, because they never touch. So the slope of the parallel line is 7/6
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