OCR Advanced FSMQ - Additional Maths

Progress check 1 For each of the following lines, say whether the gradient is positive, negative, zero or infinite: (a) y x O (b) y x O (b) y = 6 − 2 x Rearranging this slightly so it is in the form y = mx + c , we obtain y = −2 x + 6. Hence, gradient is −2 and the intercept on the y -axis is 6. (c) 3 y = 6 x − 5 Dividing through by 3 gives y = 2 x − 5 3 Hence, gradient is 2 and the intercept on the y -axis is − 5 3 . (d) 4 y + 3 x − 6 = 0 Rearranging gives 4 y = −3 x + 6 Dividing through by 4 gives y = − 3 4  x + 3 2 Hence, gradient is − 3 4 and the intercept on the y -axis is 3 2 . 6 Coordinate geometry of straight lines 125