# PPT Equation of a line - Web Maths_ Ashlawn School

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```					  EQUATIONS OF
STRAIGHT LINES

AIM: UNDERSTAND THE
GRADIENT AND INTERCEPT OF
A STRAIGHT LINE AND
EQUATIONS OF THE FORM
y=mx + c
12
The gradient is 2             11
because the line              10
slopes upwards 2 for          9
every one square
8
across
7
6
The equation of the line is   5                2 up
y = 2x + 1             4
3
2            1 across
Intercept is 1      1
00   1   2   3   4   5   6
12
What is the gradient          11
now?                          10
9
The gradient is still 2       8
7
6
The equation of the line is   5                4 up
y = 2x + 1             4
3
2
Intercept is 1                   2 across
1
00   1   2   3   4   5   6
12
The gradient is 4             11
because the line              10
slopes upwards 4 for          9
every one square
8             4 up
across
7
6
5
1 across
4
Intercept is 3      3
2
The equation of the line is
y = 4x + 3             1
00   1    2   3     4   5   6
12
The gradient is 3             11
because the line              10
slopes upwards 3 for          9
every one square
8
across
7
6
3 up
The equation of the line is   5
y = 3x + 2             4
3
Intercept is 2      2        1 across
1
00   1   2   3   4   5   6
12
The gradient is ½             11
because the line              10
slopes upwards ½ for          9
every one square
8
across
7
1 up
6
Intercept is 5      5
4            2 across
The equation of the line is   3
y=½x+5                  2
1
00   1   2   3   4   5   6
12
The gradient is ⅔            11
because the line             10
slopes upwards ⅔ for         9
every one square
8
across
7
Intercept is 6     6                   2 up
5
4        3 across
The equation of the line is   3
y=⅔x+6                  2
1
00   1    2   3     4   5   6
12
11
Intercept is10       10
9
8
The gradient is -2
because the line             7
slopes downwards 2           6
for every one square         5
across
4
The equation of the line is   3    2 down
y = -2 x + 10           2
or                1        1 across
y= 10 – 2x
00   1    2   3     4   5   6
12
11
10
9
8
7
6
5
4
3
2
1
00   1   2   3   4   5   6
12
11
10
9
8
7
6
5
4
3
2
1
00   1   2   3   4   5   6
12
11
10
9
8
7
6
5
4
3
2
1
00   1   2   3   4   5   6

```
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