## anonymous one year ago What is the equation of the line that passes through the point (2, 5) and has a slope of 2?

1. anonymous

no

2. Mehek14

$$y=\color{blue}{m}x+\color{red}{b}$$

3. Mehek14

where $$\color{blue}{m}=slope\\ \color{red}{b}=y-intercept$$

4. Mehek14

you have slope = 2 so plug that into the equation $$y=2x+\color{red}{b}$$

5. anonymous

alright

6. Mehek14

we need to find b plug in the ordered pair (2,5)

7. Mehek14

$$\large{x = 2\\y=5}$$

8. anonymous

y= 4 + 5?

9. Mehek14

$$\bf{\Large{5=2(2)+b}}$$

10. Mehek14

you put 5 instead of y

11. anonymous

oh alright

12. Mehek14

2 * 2 = 4 $$\bf{5=4+b}$$

13. anonymous

b=1?

14. Mehek14

yes b = 1

15. Mehek14

so now what's the equation?

16. anonymous

5= 4 +1

17. Mehek14

no in $$\bf{y=mx+b}$$

18. Mehek14

m = 2 b = 1

19. anonymous

y = 4 + 1....?

20. Mehek14

no... in $$\bf{y=\color{blue}{m}x+\color{red}{b}}$$ put m = 2 and b = 1

21. anonymous

y= 2x + 1

22. Mehek14

23. anonymous

god i just realize how far i fell behind haha

24. anonymous

thank you

25. Mehek14

yw ^_^