1 / 8

Understanding Linear Functions in Slope-Intercept Form

This section explains how to write a linear function in slope-intercept form, ( y = mx + b ), when provided with different information. It details how to derive the y-intercept using known points on the line or a slope and a point. The section also covers characteristics of parallel and perpendicular lines, providing examples that illustrate how to find the equation of a line from given points and slopes. By mastering this, you can confidently tackle problems involving linear functions in various contexts.

ranee
Download Presentation

Understanding Linear Functions in Slope-Intercept Form

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 4.3 CPM

  2. Your work in section 4.2 did not include writing a linear function in slope intercept form, but you can certainly do this. Example: Write the symbolic representation of the linear function with a slope of and y-intercept of –8.

  3. It’s easy, RIGHT!!!!!!! But, what if we are not given the slope and y-intercept. Perhaps we’re given the slope and some other point on the line or just two points on the line. OH NO, what do we do? We can still use slope-intercept form ______________________. The slope is still m, and x and y can be replaced with the point (or either point if two are given). Now you just have to solve for the y-intercept (b)

  4. Recall: 2 lines are perpendicular iff ______________________________________. 2 lines are parallel iff _____________________________.

  5. Example: Write the symbolic representation of a linear function whose graph has the given characteristics

  6. contains the point (-3, 4) and parallel to –x+3y=150

  7. contains the point (-4,2) and perpendicular to x+4y=16 Perpendicular lines have the opprecip slope Now flip and switch the slope

  8. Write an equation of the line that passes through (4,6) and is parallel to the line that passes through (6,-6) and (10,-4) So, first we must find the slope of this line Now we can use this slope since they are parallel

More Related