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PPT Equation of a line - Web Maths_ Ashlawn School

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PPT Equation of a line - Web Maths_ Ashlawn School Powered By Docstoc
					  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
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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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posted:4/16/2011
language:English
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