Slope Intercept Form Equation of a Line

Find the slope and y intercept from each linear equation.

1. $y=-3x+9$

2. $y=\dfrac{-2}{3}x-7$

3. $y=8+\dfrac{x}{-3}$

4. $y=\dfrac{18+2x}{4}$

5. $y=7$

6. $x=-5$

Write each linear equation in slope-intercept form

7. slope = $3$, y-intercept = $-5$

8. slope = $\dfrac{-3}{8}$, y-intercept = $9$ 

9. slope = $\dfrac{-2}{7}$, y-intercept = $0$ 

10.  $m=0$, $b=-2$

11. $m=\dfrac{1}{8}$, $b=7$

Rearrange the equations into slope-intercept form.

12. $3y+2x=6$

13. $-5x+2y=-16$

14. $2x=-7y-5$

Graph the following equations on the coordinate planes.

15. $y=2x-4$ 

16. $y=x-3$ 

17. $y=\dfrac{-6}{7}x+4$ 

18. $2y=3x-8$ 

19. $-3x+3y=18$ 

20. $4x-5y=30$ 

Write the equations for the following lines, based on the information given.

21. Slope is $\dfrac{3}{4}$; passes through point (8,2).

22. Passes through points (8,2) and (3,3).

23. Slope is $\dfrac{-2}{3}$; passes through origin.

24. Passes through point (1,4).  Parallel to line with equation $y=2x+4$.

25. Passes through points (10,5) and (4,3).