Graph the Line with the Given Slope That Contains the Given Point

NAME______PERIOD______

Point-Slope Form

Point-slope form is a variation of the slope formula we have already learned. It is used to quickly write an equation of a line. To use point-slope form, you need to have a point on the line and the slope of the line. In the formula, “m” is the slope and “” and “” are the coordinates of the point. “x” and “y” are just left as “x” and “y” because most linear equations have them in there for all other points.

Often times, math problems will ask you to put the answer in slope-intercept form (y=mx+b), but it is easier to write the equation in point-slope form. If that happens, write the equation in point-slope form and then change it to slope intercept form. You change it by distributing and solving for “y”.

Graph the line with the given slope that contains the given point.

1. Slope= 1; (1,0) 2. Slope= ;

3. slope= 4. slope= ; NAME______PERIOD______

Write an equation in point-slope form for the line with the given slope that contains the given point.

5. slope=; 6. slope= 7. slope=0;

8. slope= 9. slope=0; 10. slope= ;

Write an equation in slope-intercept form for the line with the given slope that contains the given point.

11. slope= 12. slope=2; (1,1) 13. slope=

14. slope=2; 15. slope=3; 16. slope=

17. slope = 18. slope = 19. slope= NAME______PERIOD______

20. slope= 21. slope= 22. slope=

Write an equation in slope-intercept form for the line through the two points.

23. 24. 25.

26. 27. 28.