Download presentation

Presentation is loading. Please wait.

Published byCaleb Hamilton Modified over 4 years ago

1
ax + by + c = 0 This equation is used to avoid fractions. It can make the equation of a line look tidier. a, b & c are all integers and usually a > 0. eg 5x - 4y + 7 = 0 Note: Integers = {….-2, -1, 0, 1, 2, …..} An alternative for the equation of a straight line is given by:

2
Example 1:(y = mx + cax + by + c = 0) Suppose that y = - 3 / 5 x + 2 / 3 Example 2:(ax + by + c = 0y = mx + c) X 15 We now get15y = -9x + 10 Move all to left This becomes9x + 15y - 10 = 0 Find the gradient & intercept for 6x + 3y - 16 = 0 Starting with 6x + 3y - 16 = 0 ( -6x & +16) We now get 3y = -6x + 16 3 Finally we have y = -2x + 16 / 3 This line has gradient -2 and intercept (0, 16 / 3 )

3
Example 3 Prove that the line meeting the X-axis at 63.43° is parallel to 10x - 5y + 7 = 0. Line 1 m = tan m = tan 63.43° m = 2 Line 2 10x - 5y + 7 = 0 10x + 7 = 5y y = 2x + 7 / 5 m=2 Lines have same gradient so must be parallel.

Similar presentations

OK

Day 10 Geometry. Warm Up 1) Solve for y 3x – 2y = 6 2) Put the following into slope-intercept form and graph y – 5 = 4 (x + 2)

Day 10 Geometry. Warm Up 1) Solve for y 3x – 2y = 6 2) Put the following into slope-intercept form and graph y – 5 = 4 (x + 2)

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Ppt on share market in india Ppt on networking related topics on typhoons Ppt on exchange traded funds Ppt on complex numbers class 11th accountancy Ppt on power line communication modem Ppt on teachers day message Ppt on 4g wireless technology Backgrounds for ppt on social media Download ppt on nutrition in plants and animals Ppt on cse related topics about computer