State the kind of slope the following lines have:
State the form of the equation of a line with an undefined slope.
Find the slope, b, of the following lines.
A line that passes through Point A \left(3, - 9 \right) and the origin.
A line that passes through Point A \left( - 4 , 0\right) and Point B \left(0, 4\right).
A line that passes through Point A \left( - 2 , 4\right) and Point B \left(5, 1\right).
A line that passes through Point A \left( - 3 , - 1 \right) and Point B \left( - 5 , 1\right).
A line that passes through Point A \left(1, - 1 \right) and Point B \left(-1, - 2 \right).
Find the slope, b, of the line y = \dfrac{9 - 2 x}{4}.
Find the slope of the following intervals:
Find the slope, b, 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 slope, b, of the line.
As x increases, is the value of y increasing or decreasing?
A line passing through the points \left( - 1 , 4\right) and \left( - 4 , t\right) has a slope 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 slope of - \dfrac{4}{7}.
Find the value of c.
Determine whether the following pairs of coordinates will have a slope 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)
What does the following stand for in the equation of a line: y = a + bx?
A table of values for x and y is given below:
Write the linear equation expressing the relationship between x and y.
Find the value of y when x = 21.
| x | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| y | 0 | 2 | 4 | 6 | 8 | 10 |
A table of values for x and y is given below:
Write the linear equation expressing the relationship between x and y.
Find the value of y when x = 29.
| x | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| y | 8 | 13 | 18 | 23 | 28 | 33 |
A table of values for x and y is given below:
Write the linear equation expressing the relationship between x and y.
Find the value of y when x = 65.
| x | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| y | 24 | 21 | 18 | 15 | 12 | 9 |
A table of values for x and y is given below:
Write the linear equation expressing the relationship between x and y.
Find the value of y when x = 21.
| x | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| y | -21 | -16 | -11 | -6 | -1 | 4 |
State the slope, b, and y-intercept, a, of the following equations.
y = - 8 - x
y = 1 + 10 x
y = - 2 x
y = - 1 - \dfrac{9 x}{2}
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 slope of RS.
Find the slope of PS.
Consider the following ramp:
Find the slope 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 slope of Run A. Round your answer to two decimal places.
Find the slope of ski run B. Round your answer to two decimal places.
Which run is steeper?
