1 / 10

Section 1.2

Section 1.2. Straight Lines. Straight Lines. Slope Point-Slope Form Slope-Intercept Form General Form.

gfenner
Download Presentation

Section 1.2

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 1.2 Straight Lines

  2. Straight Lines • Slope • Point-Slope Form • Slope-Intercept Form • General Form

  3. Slope – the slope of a non-vertical line that passes through the points is given by: and Ex. Find the slope of the line that passes through the points (4,0) and (6, -3)

  4. Slope Two lines are parallel if and only if their slopes are equal or both undefined Two lines are perpendicular if and only if the product of their slopes is –1. That is, one slope is the opposite sign and reciprocal of the other slope (ex. ).

  5. Point-Slope Form An equation of a line that passes through the point with slope m is given by: Ex. Find an equation of the line that passes through (3,1) and has slope m = 4

  6. Slope-Intercept Form An equation of a line with slope m and y-intercept can be given by: Ex. Find an equation of the line that passes through (0,-4) and has slope .

  7. General Form The general form of an equation of a line is given by: Where A, B, and C are constants and A and B are not both zero. *Note: An equation of a straight line is a linear equation and every linear equation represents a straight line.

  8. Vertical Lines Can be expressed in the form x = a x = 3

  9. Horizontal Lines Can be expressed in the form y = b y = 2

  10. Ex. Find an equation of the line that passes through the point (–2, 3) and is parallel to the y – axis. y-axis (–2, 3) Vertical Line: x = –2

More Related