## EmmaH 3 years ago Write the slope-intercept form of the line which passes through (4, 2) with a slope of 1/2. how do i solve this?

1. lstrasmann

use point slope form.. \[y - y_{1} = m(x - x_{1})\]

2. lstrasmann

then solve for y

3. 03225186213

use slope point slope form y-y1=m(x-x1) m is slope

4. EmmaH

wait its noym= y1-y/x-x1

5. kymber

Slope-intercept form is y = mx + b All you do is plug in the slope and the point given in the problem and then figure out the y-intercept. (b) m is the slope and x and y is the point given. (4, 2) (x, y) So plug these into the formula and solve for b. Once you find b, then you plug it back into the formula along with the slope and you're done.

6. EmmaH

2=m4+b?

7. kymber

Yes, but put in the slope as m. Then you can solve for b.

8. EmmaH

where does trthe1/2 go?

9. Stormegeddon

Slope Intercept form: y = mx + b y axis = 2 so *2 = mx + b* x axis is 4 so * 2 = m(4) + b m = slope sp *2 = 1/2(4) + b now multiply 1/2 * 4 to get 2 now we have 2 = 2 + b subtract 2 from each side b = 0

10. kymber

1/2 is the slope. Plug it in for m.

11. EmmaH

ok 2=1/2(4)+b anf i try to find b right?

12. Stormegeddon

1. 2 = 1/2(4) + b 2. 2 = 2 + b 3. subtract 2 from each side to get b = 0

13. kymber

Thanks for just giving her the answer, Storm. She was about to do it on her own.

14. EmmaH

the thing isthats nit one of the answers y = 1/2 x + 2 y = 1/2 x y = 1/2 x + 4

15. Stormegeddon

16. kymber

Since b is 0, you just don't need to have it there.

17. kymber

So you plug the slope back into the original equation once your have b. But in this case, you just plug the slope into the equation and ignore b.

18. EmmaH

so its the second one?

19. Stormegeddon

yes

20. EmmaH

ok thanks peoples!

21. kymber

Yes. \(\Large\ddot\smile\)

22. 03225186213

y-2=1/2(x-4) y-2=1/2x-2 add 2 on both sides y=1/2x here y intercept is 0

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