Monday, 20 July 2015

Key Points from Graphs of Linear Functions

Answer the following in your own words. 

1. Given a function y = mx + c, explain the relationship of the function with the points on the line.

2. Given a pair of coordinates, how would you determine if the point lies on a line?

3. Explain the effects of m and c on the straight line.

37 comments:

  1. 1. m explains the gradient of the graph while c explains what coordinate y is
    2. when either y or x coordinates is 0
    3. c is the y-intercept. When m=0, the line is horizontal. When m tends to infinity, the line is vertical.

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    2. 1. m explains the gradient of the graph while c explains what coordinate y is
      2. calculate the gradient, if the gradient is the same, the coordinates are on a straight line
      3. c is the y-intercept. When m=0, the line is horizontal. When m tends to infinity, the line is vertical.

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  2. 1. m makes the gradient. c is where line passes y-axis.
    2. Calculate the gradient for each coordinate. If the gradient is the same, they're on straight line.
    3. m is the gradient. c is the point where the line passes the y-axis.

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    1. y is the y coordinate of a point
      x is the x coordinate of a point

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  3. 1. m=gradient c=y intercept

    2. the connection of the two points will determine if the point lies on a line

    3. m=0, c=0

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    1. 2. substitute the coordinates into the y=mx+c equation

      3. m affects the steepness of the gradient while c affects the point of intercept on y

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  6. 1) m= gradient
    c= y-intercept
    2) if the gradient is same when you calculate the gradient for each coordinate.
    3) c= y-intercept
    if the line is horizontal, m=0
    If the line is vertical, m=undefine

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    1. 1) x= coordinate
      y= coordinate
      2) Substitute the coordinations into the equation. Then, check if the equations correct and whether the coordinates lie in a straight line.

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  7. 1. m is the gradient of the line while c is the y-intercept of the line.
    *2. Calculate the gradient of the line.
    3. m affects the steepness of the line while c affects the y-intercept of the line.

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    1. 1. y is the vertical coordinate, m is the gradient of the line, x is the horizontal coordinate and c is the y-interecept.
      2. If the gradient of the line is the same, the points are on the line.

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  10. 1. m is the gradient of the line and c is the y-intercept of the line.
    2. Use the two points to find the gradient of the line and then find the y intercept when x is 0
    3. m is the gradient . If m is 0 the line will be a horizontal line . c will just continue

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    1. 2. Use the 2 points to find the gradient of the line and then find the intercept when x is 0. Thus if the horizontal line is on the y intercept is on 5 the points of y will be 5 whereas the coordinates for x is infinite.

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  13. 1. In the equation y=mx+c, y represents the y-coordinate and x represents the x-coordinate. The m represents the gradient and the c represents the y-intercept.
    2. Substitute the values in the equation of the line.
    3. m is the gradient and c is the y-intercept.
    When m=0, the line is horizontal.
    When m=infinity, the line is vertical.

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    1. 2. Substitute the values into the equation. If the point substitutes the equation, then the point is on the line.

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  14. 1. in y=mx+c,

    m is the gradient of the line, while c is the y-axis intercept.

    2. Substitute the coordinations into the y=mx+c equation and check against the graph if the equations makes sense and if the coordinates lie in a straight line.

    3. m affects the steepness of the graph (the line) and when m is 0, the line is horizontal, and when m=infinity, the line is vertical (undefined).

    c is which point does the line meet the y-axis

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    1. EDITED VERSION:

      1. in y=mx+c,

      m is the gradient of the line, while c is the y-axis intercept.

      2. Substitute the coordinations into the y=mx+c equation and check against the graph if the equations are balanced and if the coordinates lie in a straight line.

      3. m affects the steepness of the graph (the line) and when m is 0, the line is horizontal, and when m=infinity, the line is vertical (undefined).

      c is which point does the line meet the y-axis

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  15. 1) m is the gradient and c is the y intercept
    2) calculate the gradient of both coordinates and if the points have the same gradient, they would lie on the same line
    3) c is the y intercept and m is the gradient. If m=0, the line is horizontal. If m= infinity, the line is vertical.

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  16. 1. m = gradient, c = y-intercept, x = x-coordinates, y = y-coordinates.
    2. Substitute the coordinates into the linear equation and check whether both sides of the equation is balanced on both sides.
    3. m affects the steepness of the line (gradient) and also whether the line is going upwards (positive) or going downwards (negative), c affects where the line crosses the y-axis line (y-intercept).

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  17. 1. y=y-coordinate of the point, m=gradient of the line, x=x-coordinate of the point, c=y-intercept (where the line cuts through the y-axis)

    2. Find the equation of the line, then substitute the x and y with the coordinates of the point. Then see whether the given coordinates matches with the equation of the line.

    3. m is the gradient of the line (how steep the line is) and c is the y-intercept (a point on the line)

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  18. 1. m is the gradient of the line while c is the y- intercept of the line.
    2. substitute the values of x and y coordinates in the equation and check if the both side of the equation matches. If it matches, the points lies on a line.
    3. when m is 0, the line is horizontal. when m is undefined, the line is vertical. c is the y intercept.

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  20. 1. y is the y-coordinates, m is the gradient of the line, x is the x coordinate and c is the y-intercept
    2. use the first digit to find out the position of the point in the x axis and use the second number to find the position of the point in the y axis.
    3. m(gradient)=0 c= 0

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  21. 1. m=gradient, c=y intercept, x=x axis, y=y axis
    2. Calculate the gradient using y=mx+c and check with the graph if the equation makes sense
    3. The bigger the m value, the steeper the line is, when m=0, the line is horizontal; while when m is infinite, the line is vertical.

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  22. 1. "x" is the x-coordinate value of the coordinate while "y" is the y value of the coordinate. "c" is the y intercept where the line equation intercepts with the y-axis on the graph. "m" is the gradient of the line.

    2. Using the pair of coordinates, calculate the gradient. Now, take the equation of the line and calculate the gradient. If the gradient and the "c" value is the same, the points lie on the same line.

    3. When the value of "m" increases, the steepness of the graph and the value of "c" will increase. When the value of "c" increases, the gradient also increases.

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  23. 1.The equation shows where the line lands on y and the gradient of it.
    2.Substitute the values into the equation of the line. If the equation is true, then the point is on the line; if it is false, then that point is not on the line.
    3.m is the gradient of the line while c is the y-intercept of the line.

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  24. 1. y=mx+c... y= y-coordinate ~ m=gradient ~ x= x- coordinate ~ c= y-intercept.
    2. Substitute the x and y coordinates on the equation of the line and check if it is balanced on both sides.
    3. m is the gradient and c is the y-intercept.

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  25. 1. y= y-coordinate, m=gradient ( how steep the line is ),x= x-coordinate, c=y-intercept
    2.Find out the supposed gradient and substitute x=0 to find out y coordinate, then you can subsite x and y with the given pair of coordinates, if both equations are valid, they lie on same straight line.
    3.m=gradient, the bigger absolute the value of m, the steeper the line.
    if the gradient is negative, the gradient is sloping downwards,
    if the gradient is positive, the gradient is sloping upwards.
    if the gradient is 0, the gradient is horizontal line.
    if the gradient is undefined, the gradient is a vertical line.
    c=y-intercept, it marks where the line cuts through the y-axis.

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  26. 1. m is the gradient, c is the y-intercept
    2. substitute the coordinates into the equation and check the graph to see if the equation makes sense
    3.when m is negative, the line is decreasing. when m is positive the line is increasing.

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  27. 1) m is the gradient of the line. c is where the line intercepts y. x=x coordinate and y= y coordinate
    2. Substitute the coordinates into the linear equation and check whether both sides of the equation is balanced on both sides.
    3) m affects the how steep the slope is. While c affects the y-intercept of the line

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    1. 3) m affects the how steep the slope is. While c affects the y-intercept of the line
      if m is negative, the line is decreasing
      if m is positive, the line is increasing
      if m=0 the line is horizontal
      if m tends to infinity is vertical

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