Straight Lines Objectives C Grade Prior knowledge Find
Straight Lines Objectives: C Grade Prior knowledge: Find the gradients and y-intercepts of equations in the form 4 y + 3 x = 8 by rearranging the equation Recognise the equations of straight line graphs and find the gradients of straight line graphs Rearrange equations to make a variable the subject
Straight Lines Name the equation: 1 2 3 4 5 6 2 y=x-4 y = -x + 9 y = -2 x + 4 y = -½x y = ½x + 3 y = 2 x - 3 y 6 10 9 3 8 7 6 4 1 5 4 3 2 1 -10 -9 -8 -7 5 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 2 3 4 5 6 7 8 9 10 x
Straight Lines Example 1 Rearrange this equation into the form y = mx + c y+x=8 Use the inverse function to move x to the other side of the equation Example 2 -x y=8 -x Rearrange this equation into the form y = mx + c 2 y + 4 x = 8 Use the inverse function to move x to the other side of the equation -4 x 2 y = 8 - 4 x Use the inverse function to get y = ÷ 2 y = 8 - 4 x 2 Simplifies to: y = 4 – 2 x
Straight Lines Find the gradient of this straight line and where it crosses the y-axis y + 3 x = 6 Rearrange this equation into the form y = mx + c y = -3 -3 x +66 The gradient is: The y intercept is:
Straight Lines Find the gradients and intercepts of these equations: 1. 2 y - x = 4 -2 3 y intercept _____ Gradient _____ -2 -¾ y intercept _____ 4 y + 3 x = - 8 Gradient _____ -6 4 y intercept _____ Gradient _____ y - 4 x = -6 2 13 y intercept _____ 3 Gradient _____ 3 y - 4 x = 8 1 1 3 - 3 x + 2 y = 6 2 y intercept _____ Gradient _____ 2. y + 2 x = 3 3. 4. 5. 6. 2 ½ y intercept _____ Gradient _____
Worksheet 1 Straight Lines Name the equation: 2 1 2 3 4 5 6 y 6 10 9 3 8 7 6 4 1 5 4 3 2 1 -10 -9 -8 -7 5 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 1 2 3 4 5 6 7 8 9 10 x
Worksheet 2 Straight Lines Find the gradients and intercepts of these equations: 1. 2 y - x = 4 Gradient _____ y intercept _____ 2. y + 2 x = 3 Gradient _____ y intercept _____ 3. Gradient _____ y intercept _____ 4 y + 3 x = - 8 4. y - 4 x = -6 Gradient _____ y intercept _____ 5. 3 y - 4 x = 8 Gradient _____ y intercept _____ 6. - 3 x + 2 y = 6 Gradient _____ y intercept _____
- Slides: 7