1 / 5

Three Forms of Linear Functions: Equations, Slope-Intercept, and Point-Slope

This guide introduces three essential forms for describing linear functions: the slope-intercept form, point-slope form, and general form. You will learn how to convert between these forms using real numbers, and discover techniques to simplify equations. Key concepts include the slope (m) and the y-intercept (b), along with the importance of the coefficients A, B, and C in general form. Discover tricks to eliminate fractions and change signs effectively for clearer equation representation.

jewell
Télécharger la présentation

Three Forms of Linear Functions: Equations, Slope-Intercept, and Point-Slope

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. Three forms for describing linear functions using equations.

  2. Slope y intercept form. Slope point form y = mx + b (y –y1) = m(x – x1) A, B and C are real numbers. A and B cannot be zero. A must be a whole number. General form Ax + By + C = 0

  3. Slope y intercept Slope and one point General form (y –y1) = m(x – x1) Ax + By + C = 0 y = mx + b Given: m = -3 , ( -2, 5) (y -5) = -3 (x + 2) y – 5 = -3x – 6 y = -3x – 6 + 5 y = -3x - 1 (y -5) = -3 (x + 2) y – 5 = -3x – 6 y – 5 +6 = -3x y + 1 = -3x 3x + y + 1 = 0 (y -5) = -3( x – (-2)) (y -5) = -3 (x + 2) Same y = -3x - 1 3x + y = -1 3x + y + 1 = 0

  4. Math trick #1Get rid of fractions by multiplying by the LCM. (y – (-4)) = -3/2 (x – 5) LCM = 2, multiply all terms by 2. 2(y – (-4)) = 2[-3/2 (x – 5) ] 2y + 8 = -3(x – 5) 2y + 8 = -3x + 15 3x + 2y – 7 = 0

  5. Math trick #2Change negative sign in A to positive by multiplying by (-1) to all terms. • -3x + 4y – 6 = 0 • (-1) (-3x + 4y – 6 = 0) • 3x – 4y + 6 = 0 • Watch the sign changes! • Integer rules apply.

More Related