6.04 Horizontal and vertical lines
State whether the graphs of the following lines are horizontal or vertical:
y = 2
x = - 4
y = 3
x = 17
y = 0
x = 0
y -\dfrac{1}{2} = 0
\dfrac{4}{7} = x
The table shows some points on the line with equation x = 0.
Does the line x = 0 represent the y-axis or x-axis?
| x | 0 | 0 | 0 | 0 |
|---|---|---|---|---|
| y | -8 | -1 | 4 | 6 |
The table shows some points on the line with equation y = 0.
Does the line y = 0 represent the y-axis or x-axis?
| x | -6 | -4 | 1 | 5 |
|---|---|---|---|---|
| y | 0 | 0 | 0 | 0 |
Consider the sets of points in the following coordinate planes:
State whether the set of points lies on a increasing, decreasing, vertical or horizontal line.
Find the equation of the line that passes through the set of points.
Consider the graphed line:
State the x-intercept.
Does this line have a y-intercept?
Write down the equation of the line.
Consider the graphed line:
State the y-intercept.
Does this line have an x-intercept?
Write down the equation of the line.
For each of the following tables of values:
Sketch the graph of the line that passes through the four points.
Find the equation of the line.
| x | 2 | 2 | 2 | 2 |
|---|---|---|---|---|
| y | -2 | -1 | 0 | 1 |
| x | -4 | -2 | 0 | 2 |
|---|---|---|---|---|
| y | 5 | 5 | 5 | 5 |
Plot the following lines on a coordinate plane:
y = 8
x = 7
y = - 2
y = 0
Find the equation of the following lines:
Find the equation of the line given the following conditions:
The line is parallel to the x-axis and passes through the point \left(3, - 5 \right).
The line is parallel to the y-axis and passes through the point \left( - 8 , 3\right).
The line is perpendicular to the x-axis and passes through the point \left(3, - 8 \right).
The line is perpendicular to the y-axis and passes through the point \left(3, - 4 \right).
The temperature (in degrees Celsius) inside a freezer over a five-hour period was recorded:
| \text{Time } (h) | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| \text{Temperature } (T) | -9 | -9 | -9 | -9 | -9 | -9 |
Sketch the line that passes through each of the pairs of values from the table.
Write an equation for the temperature T, at time h.