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Warmups

Warmups. Determine the x and y intercepts of: 3x + 6y = 12 Find the slope and y-intercept: 4x + 3y = 6 y – 2=3(x+1) Write an equation in point-slope form given: (4,-1) m =3 . Homework Questions?. 3 forms of a line. Point-Slope Standard Ax + By = C Slope-Intercept y = mx + b.

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Warmups

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  1. Warmups • Determine the x and y intercepts of: 3x + 6y = 12 • Find the slope and y-intercept: 4x + 3y = 6 y – 2=3(x+1) • Write an equation in point-slope form given: (4,-1) m =3

  2. Homework Questions?

  3. 3 forms of a line • Point-Slope • Standard Ax + By = C • Slope-Intercept y = mx + b

  4. 6-5 Graphing Linear Equations Objective: To graph a line in point-slope form.

  5. Point-Slope Form • (x1,y1) = point • M = slope • We are going to use these to graph!

  6. Steps to Graph • Graph the point (x1,y1) • Use slope (as a fraction) to find your next point - rise/ run from the point Example 1: graph y – 2 = 2(x – 1)

  7. Example 2 graph y – 1 = 3(x + 4)

  8. Examples 3 & 4 graph

  9. Determine the value of r… (1,3)(-2,r) m = 3

  10. Homework • Pg. 360 #17,18,19,32,33

  11. Graphing Review Math Lab

  12. Slope Intercept • y = mx + b • m = slope • b = y-intercept • Steps • Graph y intercept • Use slope to graph more points • Connect points

  13. Slope Intercept Graphing graph

  14. Standard Form • Ax + By = C • Steps: • Use x and y intercepts • (x,0)(0,y) • Connect points

  15. Standard Graphing graph

  16. Point-Slope Form • Steps: • Graph the point (x1,y1) • Use to slope (m = rise/run) to graph more points • Connect the points

  17. Point-Slope Graphing graph

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