A line goes through the points \left(0, - 3 \right) and \left(1, 4\right).
Find the gradient of the line.
Find the equation of the line.
For the following graphs:
State the the value of y at the y-intercept.
State the gradient of the line.
Find the equation of the line in gradient-intercept form.
Rewrite the equation of the line in general form.
Consider each table of values for a linear function below:
As x increases, does y increase or decrease?
State the coordinates of the y-intercept.
Find the gradient of the line.
Hence, state the algebraic rule linking x and y.
| x | - 3 | - 2 | -1 | 0 |
|---|---|---|---|---|
| y | - 3 | - 2 | -1 | 0 |
| x | - 1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y | 1 | 0 | -1 | - 2 |
| x | - 3 | - 2 | -1 | 0 |
|---|---|---|---|---|
| y | - 15 | - 10 | - 5 | 0 |
| x | 1 | 3 | 5 | 7 |
|---|---|---|---|---|
| y | 3 | -1 | - 5 | - 9 |
| x | 9 | 11 | 13 | 15 |
|---|---|---|---|---|
| y | 20 | 24 | 28 | 32 |
| x | 9 | 18 | 27 | 36 |
|---|---|---|---|---|
| y | -68 | -131 | -194 | -257 |
Write an equation for y in terms of x for the values in the following tables:
| x | 0 | ... | 8 | 9 | 10 | 11 |
|---|---|---|---|---|---|---|
| y | -6 | ... | 18 | 21 | 24 | 27 |
| x | 9 | 10 | 11 | 12 | 13 |
|---|---|---|---|---|---|
| y | 14 | 15 | 16 | 17 | 18 |
Find the equation of the following lines:
A line that has a gradient of \dfrac{4}{3} and passes through the point \left(0, - 3 \right).
A line that has a gradient of - 8 and crosses the y-axis at - 9.
A line that is parallel to the x-axis and passes through the point \left(- 5, 2 \right).
A line that is parallel to the y-axis and passes through the point \left(- 2, 3\right).
A line that has the same gradient as the line y = 7 - 3 x and the same y-intercept as the line y = - 7 x - 8.
Consider the given graph of a line:
State the gradient of the line.
Does this line have a y-intercept?
State the the value of x at the \\x-intercept of the line.
Hence, write the equation of the line.
Consider the given graph of a line:
Complete the table of values for the line:
| x | -3 | 0 | 1 | 4 |
|---|---|---|---|---|
| y |
Hence, state the equation of the line.
For the following graphs:
State the coordinates of the y-intercept.
State the gradient of the line.
Write the equation of the line.
Consider the given graph of a line:
Complete the table of values for the line:
| x | ||||
|---|---|---|---|---|
| y | 3 | 1 | 0 | -2 |
Hence, state the equation of the line.
State the equation of:
The x-axis.
The y-axis.