EQUATIONS OF STRAIGHT LINES AIM UNDERSTAND THE GRADIENT

EQUATIONS OF STRAIGHT LINES AIM: UNDERSTAND THE GRADIENT AND INTERCEPT OF A STRAIGHT LINE AND EQUATIONS OF THE FORM y=mx + c

The gradient is 2 because the line slopes upwards 2 for every one square across 12 11 10 9 8 7 6 The equation of the line is y = 2 x + 1 2 up 5 4 3 1 across 2 Intercept is 1 1 00 1 2 3 4 5 6

What is the gradient now? The gradient is still 2 12 11 10 9 8 7 6 The equation of the line is y = 2 x + 1 4 up 5 4 3 2 Intercept is 1 2 across 1 00 1 2 3 4 5 6

The gradient is 4 because the line slopes upwards 4 for every one square across 12 11 10 9 8 4 up 7 6 5 Intercept is 3 The equation of the line is y = 4 x + 3 1 across 4 3 2 1 00 1 2 3 4 5 6

The gradient is 3 because the line slopes upwards 3 for every one square across 12 11 10 9 8 7 6 The equation of the line is y = 3 x + 2 Intercept is 2 3 up 5 4 3 1 across 2 1 00 1 2 3 4 5 6

The gradient is ½ because the line slopes upwards ½ for every one square across 12 11 10 9 8 7 1 up 6 Intercept is 5 The equation of the line is y=½x+5 5 2 across 4 3 2 1 00 1 2 3 4 5 6

The gradient is ⅔ because the line slopes upwards ⅔ for every one square across 12 11 10 9 8 7 Intercept is 6 2 up 6 5 The equation of the line is y=⅔x+6 3 across 4 3 2 1 00 1 2 3 4 5 6

12 11 Intercept is 10 10 9 The gradient is -2 because the line slopes downwards 2 for every one square across The equation of the line is y = -2 x + 10 or y= 10 – 2 x 8 7 6 5 4 3 2 down 2 1 00 1 across 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