For the following line segments AB:
State the rise from A to B.
State the run from A to B.
Hence find the gradient of line segment AB.
Consider the following line, where A\left(4, 0\right) and B\left(1, 12\right) are both points on the line:
Find the gradient of the line.
As x increases, is the value of y increasing or decreasing?
For the following graphs:
State the coordinates of the y-intercept.
Find the rise from point A to the y-intercept.
Find the run from point A to the y-intercept.
Find the gradient of the line.
For each of the following linear equations:
Find the gradient of the line.
State the coordinates of the y-intercept.
y = 5x + 6
y = - x - 8
y = 1 + 10 x
y = - 2 x
y = 24
Consider the equation y = x and the table of values given below:
State the coordinates of the y-intercept.
As x increases, is the value of y increasing or decreasing?
Find the gradient of the line.
x | - 3 | - 2 | -1 | 0 |
---|---|---|---|---|
y | - 3 | - 2 | -1 | 0 |
Consider the equation y = - x and the table of values given below:
State the coordinates of the y-intercept.
As x increases, is the value of y increasing or decreasing?
Find the gradient of the line.
x | - 1 | 0 | 1 | 2 |
---|---|---|---|---|
y | 1 | 0 | -1 | - 2 |
Consider the equation y = 5 x and the table of values given below:
Find the coordinates of the y-intercept.
Find the gradient of the line.
x | - 3 | - 2 | -1 | 0 |
---|---|---|---|---|
y | - 15 | - 10 | - 5 | 0 |