Gradient Intercept y = mx + c
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Gradient Intercept
y = mx + c
Gradient of a line Graphs
y = mx + c
y = mx + c
x
y
y intercept: where the graph cuts the Y axis
Gradient: the slope (steepness) of the graph
Gradient of line Graphsrunrise
m
5
2
41
3
1
rise
run Positive gradient
Negative gradient: Gradient
Whole number gradient? 4= 2= -6= 1=
Draw lines with these gradients
1) 2)
3) -4 4) 2
5) 1 6)
*Pick any spot to start drawing gradient (no position without equation)!!
Gradient Intercept
y
x
1
1
2
2
3
3
4
4
5
5
6
6
– 1
– 1
– 2
– 2
– 3
– 3
1
1
2
2
3
3
4
4
5
5
6
6
7
7
8
8
9
9
10
10
– 1
– 1
– 2
– 2
– 3
– 3
– 4
– 4
– 5
– 5
y
x
1
1
2
2
3
3
4
4
5
5
6
6
– 1
– 1
– 2
– 2
– 3
– 3
1
1
2
2
3
3
4
4
5
5
6
6
7
7
8
8
9
9
10
10
– 1
– 1
– 2
– 2
– 3
– 3
– 4
– 4
– 5
– 5
1) Find and mark the y intercept ( c )2) From this point go across right then up/down to find gradient. (m)3) Join these two points Eg 1) y = 2x + 3 3) y = ¼x – 2
2) y = 5x – 4 4) y = -3x + 5
y = mx + c
Gradient (m) = 2
Y-intercept (c) = +1
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = -1/4
Y-intercept (c) = +5
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = 1
Y-intercept (c) = +2
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = 1
Y-intercept (c) = 0
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = -1
Y-intercept (c) = -2
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = -4
Y-intercept (c) = -1
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = 3
Y-intercept (c) = -2
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = -1
Y-intercept (c) = +3
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = -1
Y-intercept (c) = +3
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = -3
Y-intercept (c) = -1
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = -3
Y-intercept (c) = -1
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = -7
Y-intercept (c) = +2
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = 1/3
Y-intercept (c) = 0
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = 1
Y-intercept (c) = +3
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = 1/2
Y-intercept (c) = +2
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = 2
Y-intercept (c) = +1
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = -2
Y-intercept (c) = +3
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
Gradient (m) = -1
Y-intercept (c) = +5
x-6 -5 -4 -3 -2 -1 1 2 3 4 5 6
y
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
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