Maths yr9 summer 1

• what is the calculation for a linear graph?


  y = mx + c
• what is a linear graph?

  a straight line graph
• is this graph positive or negative?

  Positive

  
• is this graph positive or negative?

  negative

  
• whats the name of the y axis

  x = 0
• what is the name of the x axis?

  y = 0
• the straight line graph only works if the graph has a (?) y...


  singular
• what do you do if the linear graph equation doesn't have a single y?

  you need to get rid of the coefficient in front of the y.
• in a linear equation where do you find the gradient?

  m
• in a linear equation where do you find the y-intercept?

  c
• name the graph 


  x = 2

  
• name the graph?


  y=6

  
• why do vertical lines on a graph have no gradient?

  the equation for a gradient is m = rise/step. although there is a rise (x) there would be no step therefore the gradient would equal 0.
• is there a finite amount of points on a straight line?

  no there are infinite points on a straight line.
• how do you workout the equation of a line

  1. establish the gradient. m = y(1)-y(2)/x(1)-x(2)
  2. substitute the gradient into the equation y = mx +c
  3. substitute one of the co-ordinates
  4. re-arrange to find c
  5. put the c into the equation
• find the equation of the line (4, 2) and (12, -2)

  y=-1/2x + 4
• if y = 0 what is the y-intercept?

  0
• if m = 5 and c = (0,2) what is the equation fo the line?

  y=5x + 2
• how do find a pair of parallel lines?

  = distance and = gradient (m1 = m2)
• how do you find a pair of perpendicular lines?

  the line if the negative reciprocal. this means that the gradient becomes negative and reciprocates.
• How do you find the midpoint of a straight line?

  1. +
  2. x(2)
  3. 2
  4. y(1)

  
• what type of triangle to pythagoras' theorem apply to?


  right angle
• which letter represents the hypotenuse?

  c

  
• what is the hypotenuse?

  its the longest side of a right-angled triangle.
• what's Pythagoras' theorem equation?

  a^2 + b^2 = c^2
• How do you find c in a right angled triangle?

  1. y(2)-y(1)
  2. +

  
• when you square a negative it becomes a ...

  positive
• what are the three Pythagorean triples

  1. 3, 4, 5

  2. 6, 8, 10
  3. 5, 12, 13
• speed = distance / time
• time = distance / speed
• distance = speed * time
• velocity time graph: velocity = distance travelled / time taken/ time taken, so the units are m/hr/hr or m/s/s.
• velocity / time = acceleration
• area of a rectangle = wl
• area of a triangle = 1/2 bh
• area of a trapezium = 1/2 (a + b ) h
• area of a square = bh
• area of a circle = πr^2
• area of a rhombus = bh
• quadratic equations calculation is y = ax^2 + bx + c