1 / 14

Section 2-4: Writing Linear Equations

Section 2-4: Writing Linear Equations. We have already seen standard form of an equation, but this form isn’t very useful. We are going to use slope-int. and point-slope form to write equations. Slope-Intercept Form. y = ______ [ ____ = mx + b]

paxton
Download Presentation

Section 2-4: Writing Linear Equations

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 2-4: Writing Linear Equations • We have already seen standard form of an equation, but this form isn’t very useful. • We are going to use slope-int. and point-slope form to write equations.

  2. Slope-Intercept Form • y = ______ [ ____ = mx + b] • Remember, MOST of the time we will still have ______ in the final equation. • m is the _______ • b is the __________

  3. x y Write the equation of the line. • First (and easiest) b = ? • b = • m = ? • m = • y =

  4. x y Write the equation of the line. • b = ? • b = • m = ? • m = • y =

  5. x y Write the equation of the line. • b = ? • b = • m = ? • m = • y =

  6. y = -4x + 3 m = b = y = 5 - 1/2x m = b = 8x + y = 3/4 m = b = 4x - 2y = 10 m = b = Give the slope and y-int. of each equation.

  7. y = -1/3x m = b = y = 5 m = b = Give the slope and y-intercept of each line.

  8. m = -3, b = 1 m = -2/5, b = -4 m = 0, b = 10 m = 1, b = 0 m = 0, b = 0 Given the slope and y-int., write the equation of the line.

  9. Given the graph, write the equation of the line. • To write the equation of a line, we need two pieces of information: ___________ ________________ • You should be able to get these from _________.

  10. Point-Slope Form • Use this form if you are given _________, or a __________. (as long as the pt. isn’t b) • ____________________ • (x1, y1) is one of the given points. • Use the points to calculate m.

  11. Give the equation of the line. • the line goes through (3, 2) & (5, 4). • m = • choose either point, we’ll use (3, 2). Plug in 3 for ___ & 2 for ____. • ____________

  12. Write the equation. • y - 2 = 1(x - 3) • Simplify. • ______________ • add two to both sides • __________

  13. Give the equation of the line through the points (4, 3) and (7, -2) • m = • plug either point. • y - 3 = • y = • y =

  14. Give the equation of the line with x-int. 3 and y-int 2. • Because we know the y-int. (b), we only need the slope. • m = • y =

More Related