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The Gradient (also called Slope) of a line shows how steep it is.

Calculate

To calculate the Gradient:

Divide the change in height by the change in horizontal distance

Gradient = Change in Y Change in X

Have a play (drag the points):

geometry/images/geom-line-equn.js?mode=slope

Examples:

The Gradient = 3 3 = 1
So the Gradient is equal to 1

The Gradient = 4 2 = 2

The line is steeper, and so the Gradient is larger.

The Gradient = 3 5 = 0.6

The line is less steep, and so the Gradient is smaller.

Positive or Negative?

Going from left-to-right, the cyclist has to Push on a P ositive Slope:

When measuring the line:

Gradient = −4 2 = −2

That line goes down as you move along, so it has a negative Gradient.

Straight Across

Gradient = 0 5 = 0

A line that goes straight across (Horizontal) has a Gradient of zero.

Straight Up and Down

Gradient = 3 0 = undefined

That last one is a bit tricky ... you can't divide by zero,
so a "straight up and down" (vertical) line's Gradient is "undefined".

Rise and Run

Sometimes the horizontal change is called "run", and the vertical change is called "rise" or "fall":

They are just different words, none of the calculations change.

2068, 2069, 2070, 2071, 2072, 5316, 5317, 5318, 5319, 5320

# data[].attributes.attachment_link.description
The Gradient (also called Slope) of a line shows how steep it is. To calculate the Gradient: Divide the change in height by the change in horizontal distance Gradient = Change in Y Change in X Have a play (drag the points): geometry/images/geom-line-equn.js?mode=slope The Gradient = 3 3 = 1 So the Gradient is equal to 1 The Gradient = 4 2 = 2 The line is steeper, and so the Gradient is larger.

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Plot the coordinates on the grid and name the shape.

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Plot the coordinates on the grid and name the shape.

# data[].attributes.attachment_link.description
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

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1. 2x2x3x3

2. 2x2x2x2x3x5

3. 24

4. 18d+24

5. 3m-4m

6. 80

# data[].attributes.body
1)2x2x3x3

2)2x2x2x2x3x5

3)24

4)18d+24

5)3m-4m

6)80

# data[].attributes.body
1) 2x3x2x3

2) 2x2x2x2x3x5

3) 24

4) 18d+24

5) m

6) 80

# data[].attributes.body
1)2x2x3x3

2)2x2x2x2x3x5

3)24

4)18d+24

5)m

6)80

# data[].attributes.body
ive done my work but its glithcing to send