Equation of a Line
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Transcript of Equation of a Line
![Page 1: Equation of a Line](https://reader030.fdocuments.net/reader030/viewer/2022032522/55cf905d550346703ba53aab/html5/thumbnails/1.jpg)
EQUATIONS OF STRAIGHT LINES
AIM: UNDERSTAND THE GRADIENT AND INTERCEPT OF A STRAIGHT LINE AND EQUATIONS OF THE FORM y=mx + c
![Page 2: Equation of a Line](https://reader030.fdocuments.net/reader030/viewer/2022032522/55cf905d550346703ba53aab/html5/thumbnails/2.jpg)
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Intercept is 1
1 across
2 up
The gradient is 2 because the line slopes upwards 2 for every one square across
The equation of the line isy = 2x + 1
![Page 3: Equation of a Line](https://reader030.fdocuments.net/reader030/viewer/2022032522/55cf905d550346703ba53aab/html5/thumbnails/3.jpg)
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4 up
2 across
What is the gradient now?
The gradient is still 2
Intercept is 1
The equation of the line isy = 2x + 1
![Page 4: Equation of a Line](https://reader030.fdocuments.net/reader030/viewer/2022032522/55cf905d550346703ba53aab/html5/thumbnails/4.jpg)
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4 up
1 across
The gradient is 4 because the line slopes upwards 4 for every one square across
Intercept is 3
The equation of the line isy = 4x + 3
![Page 5: Equation of a Line](https://reader030.fdocuments.net/reader030/viewer/2022032522/55cf905d550346703ba53aab/html5/thumbnails/5.jpg)
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3 up
1 across
The gradient is 3 because the line slopes upwards 3 for every one square across
Intercept is 2
The equation of the line isy = 3x + 2
![Page 6: Equation of a Line](https://reader030.fdocuments.net/reader030/viewer/2022032522/55cf905d550346703ba53aab/html5/thumbnails/6.jpg)
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1 up
2 across
The gradient is ½ because the line slopes upwards ½ for every one square across
Intercept is 5
The equation of the line isy = ½ x + 5
![Page 7: Equation of a Line](https://reader030.fdocuments.net/reader030/viewer/2022032522/55cf905d550346703ba53aab/html5/thumbnails/7.jpg)
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2 up
3 across
The gradient is ⅔ because the line slopes upwards ⅔ for every one square across
The equation of the line isy = ⅔ x + 6
Intercept is 6
![Page 8: Equation of a Line](https://reader030.fdocuments.net/reader030/viewer/2022032522/55cf905d550346703ba53aab/html5/thumbnails/8.jpg)
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2 down
1 across
The gradient is -2 because the line slopes downwards 2 for every one square across
Intercept is10
The equation of the line isy = -2 x + 10
ory= 10 – 2x
![Page 9: Equation of a Line](https://reader030.fdocuments.net/reader030/viewer/2022032522/55cf905d550346703ba53aab/html5/thumbnails/9.jpg)
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