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Standard Form And Point Slope Form

Standard Form And Point Slope Form. First, Some Important slides from last time! Take Some Notes!. Y-int. Slope. Review: Slope-Intercept Form. Slope describes a lines its steepness, incline, decline or grade. = Change in y =. = Change in x =. calculate Slope With 2 Points.

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Standard Form And Point Slope Form

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  1. Standard Form And Point Slope Form First, Some Important slides from last time! Take Some Notes!

  2. Y-int. Slope Review: Slope-Intercept Form Slope describes a lines its steepness, incline, decline or grade. = Change in y = = Change in x =

  3. calculate Slope With 2 Points Review: Calculating Slope we have a point (x1, y1) and another point (x2, y2) Change in y (rise) over the Change in x (run). It looks likes this. (x2, y2) (x1, y1) =

  4. Review: Finding x-int, and y-int • Remember, to find x-int, plug in 0 for y and Solve. • To find y-int, plug in 0 for x. • Horizontal Lines Have no x intercept, 0 slope and equal the y-intercept! • Vertical Lines have no y intercept, an undefined slope and equal the x intercept!

  5. Other forms of A Line • Just Like there are other forms of to represent fractions, there are different ways to represent a line. • Example: • What are some other instances when you see things in other forms?

  6. Standard Form • Another way to write the equation of a line is using Standard Form. • A,B and C are real numbers and A and B can not be zero.

  7. Slope-Int Form to Standard Form • Suppose we wanted to see the equation of a line in standard form from slope-int form. • Here is what we do: • Example #1 A = -3 B = 1 C = 4 Seriously? That’s it! Dude! Piece of Cake!

  8. Slope-Int Form to Standard Form • Example #2 A = -1/6 B = 1 C = -15 Seriously? That’s it! Hot Dog! Piece of Cake!

  9. Standard Form to Slope-Int Form • Example #3 8x + 4y = 16 -8x -8x 4y = -8x + 16 Are we finished??? NO! /4 /4 /4 y = -2x + 4 Cereal? That’s it! Hot Dog! Easy as Pie!

  10. Standard form (x- and y-int) • How to find x and y int? Just plug in zero for x or y! • Example #4 8x + 4y = 16 Find y-int, plug in zero for x! Find x-int, plug in zero for y! 8(0) + 4y = 16 8x + 4(0) = 16 4y = 16 8x = 16 /4 /4 /8 /8 y= 4 x = 2 Wowsers!

  11. Point-Slope Form • The last form we will look at is Point-Slope Form. The hole point (Get it) of this form is an easy way to write an equation for a line using the slope, and a point (Hence the name!). • The Form is….. • Drum Roll Tap those fingers on your desk!

  12. Point-Slope Form • Let us see how we make an equation using Point-Slope Form. • Given that Slope equals 3 and a point (2,4), write an equation of a line using point-slope form. • What do we do? • We have m and x1,y1.. so.. • Plug and Chug! An you leave it!

  13. One mo Time… • Slope equals -6 and a point (-2,-4), write an equation of a line using point-slope form. • Plug and Chug! No Way, Really? That is Simple!

  14. Point Slope Form to Standard and Slope-int • We gotta do it, so lets try it out for this equation. • First standard Form Time out! -20 -20 It’s Slope-int! -7x -7x Let’s keep on truckin’ It’s Standard! Wow we WOW WOW!

  15. Last Example using 2 points! • Using (3,-6) and (-5,2), find the equation of the line using point-slope form. • We need to find m Wait a minute, We’ve Done This!!

  16. Last Example using 2 points! • Using (3,-6) and (-5,2), find the equation of the line using point-slope form. • m = -1 • So lets plug and chug, but which points? • They both work!!! (3,-6) (-5,2) They Look Different, But They describe the same Line. Don’t Believe me? Find the x and y-int!!

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