Gradient of a line
The Maths Habit
Which hill is harder to walk up?
- Gradient
- How steep a line is.
- Steep
- Going up a lot for a small step across.
- Horizontal
- Going straight across, flat.
- Vertical
- Going straight up.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Work out each one.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Work out the gradient of the line.
Thumbs up for yes. Thumbs down for no.
Up 6, across 2. The gradient is 3.
YesUp 4, across 2. The gradient is 8.
No: 4 ÷ 2 = 2Up 3, across 3. The gradient is 1.
YesUp 9, across 3. The gradient is 6.
No: 9 ÷ 3 = 3Up 8, across 2. The gradient is 4.
Yes
Answer sheet
A line goes down 2 for each 1 across. What is its gradient?
−2A line goes up 1 for every 2 across. What is its gradient?
½A line goes through (1, 2) and (4, 14). Work out its gradient without drawing it.
12 ÷ 3 = 4Line A has a gradient of 3. Line B goes up 10 for 2 across. Which line is steeper?
B: 10 ÷ 2 = 5
Work out the gradient of the line.
3Work out the gradient of the line.
41 2 3 4 2 4 6 0 x y up across = = Work out the gradient of the line.
Gradient 21 2 3 4 2 4 6 0 x y