Finding the equation of the line ay + bx + c = 0
I can appreciate that writing linear equations in the form ay + bx + c = 0 may be more appropriate.
Finding the equation of the line ay + bx + c = 0
I can appreciate that writing linear equations in the form ay + bx + c = 0 may be more appropriate.
Lesson details
Key learning points
- Linear equations can be written in multiple forms.
- One of these forms is ay + bx + c = 0.
- This form can be more appropriate in some contexts and situations.
Common misconception
To draw the graph using the gradient and intercept you can just count the squares.
Encourage pupils to look at the scales on the axes carefully when drawing a line given the gradient and y-intercept.
Keywords
Equation of a line - An equation of a line is any equation whose graph forms a straight line.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
Exit quiz
6 Questions
A (green) -
$$x = -4$$
B (blue) -
$$y = {1\over 3}x - 4$$
C (black) -
$$y = -4 $$
D (pink) -
$$y = {1\over 3}x + 4$$
E (purple) -
$$y = -{1\over 3}x + 4$$
(0, -7) -
$$y + x + 7 = 0$$
(0, 7) -
$$ y + x - 7 = 0$$
(0, -10) -
$$y - x + 10 = 0$$
(0, 10) -
$$y - x - 10 = 0 $$
(0,1) -
$$y + x - 1 = 0$$
(0,-1) -
$$y - x + 1 = 0$$
(-3,0) -
$$y + x + 3 = 0$$
(3,0) -
$$ y + x - 3 = 0$$
(5, 0) -
$$y - x + 5 = 0$$
(-5,0) -
$$y + x + 5 = 0 $$
(4,0) -
$$x + y - 4 = 0$$
(-4,0) -
$$x - y + 4 = 0$$