Download presentation

Presentation is loading. Please wait.

1
Starter Questions Factorise 5x + 10

2
**The Straight Line Equation**

Learning Intention To explain and draw straight lines of the form y = mx + c.

3
**The Straight Line Equation**

By calculating the gradient of each line, write down the equation of the line y The Straight Line Equation 1 2 4 3 5 x

4
**The Straight Line Equation**

Gradient = vertical height horizontal distance = 4 1 = 4 Equation of line is y = 4x Line 2 Gradient = vertical height horizontal distance = 3 2 Equation of line is y = 3x 2 Line 3 Gradient = vertical height horizontal distance = 2 2 = 1 Equation of line is y = x

5
**The Straight Line Equation**

Gradient = vertical height horizontal distance = 1 2 Equation of line is y = 1x 2 Gradient = vertical height horizontal distance = 1 4 Line 5 Equation of line is y = 1x 4

6
**The Straight Line Equation**

All the lines we have previously looked at all passed through the origin at (0,0) i.e. y = 2x, y = 3x, y = ½x, y = 5x etc… Gradient = 3 Gradient = 5 Gradient = 2 Gradient = ½ What about straight lines that do not pass through the origin

7
**The Straight Line Equation**

Example Draw the line of y = 2x on a suitable coordinate diagram y = 2x + 2 y x Same gradient, but slightly higher up y 2 4 6 8 y = 2x On the same diagram, draw the graph of y = 2x + 2 x y 2(0)+2 2(0)+2 2(0)+2 2(3)+2 2(4)+2 =2 =4 =6 =8 =10 x What do you notice about the second line?

8
**The Straight Line Equation**

Example Draw the line of y = x on a suitable coordinate diagram y x y = x + 4 Same gradient, but slightly higher up y 1 2 3 4 y = x On the same diagram, draw the graph of y = x + 4 x y 4 5 6 7 8 x What do you notice about the second line?

9
**The Straight Line Equation**

y = x On your 4 quadrant diagram, Draw the lines of the given equations. The Straight Line Equation 1 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -10 x y x y 2 4 y = 3x+1 2 4 x y 1 2 1 4 7 y = x - 3 y = 2x + 3 x y 4 8 x y 1 2 -3 1 5 3 5 7

10
**Straight Line Equation**

y 10 lines are parallel if they have the same gradient All straight lines have the equation of the form 9 8 y = mx + c 7 6 5 4 3 Where line meets y-axis 2 Gradient 1 x 1 2 3 4 5 6 7 8 9 10 Find the equations of the following lines y = x y = x+4 y = 4x+2 y = -0.5x+2

11
**Straight Line Equation**

Now try Ex 4 Ch6 Page 73 Start at Q4

Similar presentations

Presentation is loading. Please wait....

OK

Writing Linear Equations Using Slope Intercept Form

Writing Linear Equations Using Slope Intercept Form

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on introduction to software project management Ppt on soft skills download Ppt on earth and space worksheets Ppt on earthquake for class 9 Ppt on credit default swaps history Ppt on class c power amplifier Ppt on indian youth Ppt on leverages resources Ppt on tourism in pakistan Hrm ppt on recruitment agencies