graphing and equation writting review

Find the x and y intercepts from each linear equation. 1. 4x+3y=24 2. 5x+y=25 3. 7x–3y=21 4. –6y–8y=–24 x-­‐int: x-­‐int: x-­‐int: x-­‐int: y-­‐int: y-­‐int: y-­‐int: y-­‐int: 5. y=3x+9 6. y=4x–12 7. y=5x–12 8. y=12x–36 x-­‐int: x-­‐int: x-­‐int: x-­‐int: y-­‐int: y-­‐int: y-­‐int: y-­‐int: Graph the following linear equations by finding the x and y intercepts. You will need a sheet of graph paper for your graphs. 9. 3x–2y=18 10. y= 4x+8 x-­‐int: x-­‐int: y-­‐int: y-­‐int: Find the slope of the following points. Leave your answers in simplest form. 11. (6,7)&(8,12) 12. (–2,–4)&(6,18) 13. (–5,–11)&(–4,–21) Find the slope and y-­intercept(b) from each equation. 14. y=3x+5 15. y=(2/3)x–7 16. y=8-­‐5x 17. y=1.5x+21 m= m= m= m= b= b= b= b= Graph a line for each given point and slope for problems 18-­23. Plot the point first, then use the slope to find another point. You will need graph paper to graph, unless you want to make the coordinate plane by hand on your paper! 18. (3,1) & m=1/2 19. (0,4) & m=2/3 20. (–4,0) & m=4/3 21. (2,4) & m=3 22. (–2,1) & m=3/4 23. (2,–1) & m= –2/5 Graph each equations by making and input/output table(t-­chart).Graph paper is available if needed. You will need to make your own charts for 26 and 27. 24. y=3x–4 25. y= –2x+3 26. y=5x–1 x Y –1 0 1 Write an equation in slope-­intercept form from the given information (y=mx+b). 27. m=3,b=5 28. b=4,m=7 29. m=–2,b=12 30. M=1,b=2 31. m=0, b=4 32. M=2/3,b=6 33. M=3/4, b=–1 34. M=5/2,b=–4 Find the slope and y-­intercept from each equation that is in standard form. 35. 4x+2y=12 36.3x+y=27 37. –2x+3y=6 Write an equation in slope-­intercept form from the following information. You will need to find b and then substitute into y=mx+b. 38. (3,4), m=4 29. (0,4), m=–2 30. (2,9),m=3 31. (–2,3) ,m=2 32. (–4,–5), m=–2 33.(5,19), m=–3 Match each equation the its graph. Identify slopes, x and y intercepts to help figure out which graph goes with which equation. 34. y=x+1 35. Y=3x–2 36. 3x+3y=6 37. 2x–y=4 3
3
2
2
1
1
-5
-4
-3
-2
-1
0
1
2
3
4
5
-1
-5
-4
-3
-2
-1
0
1
2
3
4
5
-2
-1
-3
-2
-3
3
1
2
-4
-3
-2
-1
0
1
2
3
4
5
1
-1
-2
-5
-4
-3
-2
-1
0
1
2
3
4
5
-3
-1
-4
-2
-3