Find the gradient of the following intervals:
Consider the straight line that passes through the points A, B, C and D:
Find the slope of the line using the points A and D.
Find the slope of the line using the points B and C.
What do you notice?
Find the gradient of the following lines:
Consider the following line, where Point A\left(4, 0\right) and Point B\left(0, 16\right) both lie on the line:
Find the gradient of the line.
As x increases, is the value of y increasing or decreasing?
Find the gradient of the lines that pass through the given points:
Point A \left( - 1 , 0\right) and Point B\left(0, 3\right)
Point A\left(2, - 6 \right) and the origin
Point A \left(3, 5\right) and Point B\left(1, 8\right)
Point A\left(3, - 9 \right) and the origin.
Point A\left( - 4 , 0\right) and Point B\left(0, 4\right).
Point A\left( - 2 , 4\right) and Point B\left(5, 1\right).
Point A\left( - 3 , - 1 \right) and Point B\left( - 5 , 1\right).
Point A\left(1, - 1 \right) and Point B\left(-1, - 2 \right).
A line passing through the points \left( - 1 , 4\right) and \left( - 4 , t\right) has a gradient of - 3.
Find the value of t.
A line passes through the points \left(11, c\right) and \left( - 20 , 16\right) and has a gradient of - \dfrac{4}{7}.
Find the value of c.
For each of the following lines:
Find the coordinates of the y-intercept.
Find the gradient.
For each the following equations:
Sketch the graph of the equation.
State coordinates of the y-intercept.
State the gradient of the line.
y = x
y = - x
y = 5 x
State the gradient and y-intercept of the following equations of lines:
y = - x - 8
y = 1 + 10 x
y = - 5 x
y = - 1 + \dfrac{7 x}{2}
Consider the following graph:
Find the coordinates of the y-intercept.
State the gradient of the line.
Consider the following graph:
State the gradient of the line.
Does this line have a y-intercept?
State the x-intercept of the line.
State the gradient of the following lines:
State the coordinates of the x or y-intercept of the following equations:
Determine whether the following pairs of coordinates will have a gradient that is defined or undefined:
\left( - 10 , 5\right) and \left( - 10 , 12\right)
\left(10, 5\right) and \left(10, 1\right)
\left(10, - 1 \right) and \left( - 10 , - 1 \right)
\left( - 10 , 5\right) and \left(10, 5\right)
\left(10, 7\right) and \left(10, 2\right)
\left(10, - 2 \right) and \left( - 10 , - 2 \right)
\left( - 10 , 7\right) and \left( - 10 , 12\right)
\left( - 10 , 7\right) and \left(10, 7\right)
Given Point P\left(- 1,-1\right), Point Q\left(0,1\right), Point R\left(- 1,6\right), and Point S\left(- 2, 4\right):
Find the gradient of RS.
Find the gradient of PS.
Consider the following ramp:
Find the gradient of this skateboard ramp if it rises 0.9 metres above the ground and runs 1 metre horizontally at the base.
The ramp can only be used as a 'beginner’s ramp' if for every 1 metre horizontal run, it has a rise of at most 0.5 metres. Can it be used as a 'beginner’s ramp'?
A certain ski resort has two ski runs as shown in the diagram:
Find the gradient of Run A. Round your answer to two decimal places.
Find the gradient of ski run B. Round your answer to two decimal places.
Which run is steeper?
