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## ErinWeeks 2 years ago What is the y−coordinate of the y−intercept of the line that passes through the points (−4, −4) and (4, 8)? The only question im stuck on PLEASE HELP! :)

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1. precal

figure out the slope then use y=mx+b and sub the slope for m and use one of the points for (x,y) to solve for b. b is our answer

2. ErinWeeks

Is there anyway you could start the equation of for me?

3. precal

|dw:1358369271960:dw|tell me what the slope is first

4. ErinWeeks

the slope would be M right but where am I looking for the slope for with the fraction?

5. precal

you need the slope to be able to use it in y=mx+b then you can use one of the points I would use (4,8) x=4 y=8 then you are solving for b. b is known as your y intercept and that is what you are looking for

6. ErinWeeks

So I have so far y= ? + 8 Would I plug in the 4?

7. precal

|dw:1358370299889:dw|you need the slope to sub the m value and solve for b

8. ErinWeeks

Alright so what operation would I do from here?

9. Carolin

next, u can just substitute the M = gradient = slope into this equations to find value b

10. Carolin

then, rewrite the equation form in y = mx + b

11. ErinWeeks

Whats the value for m?

12. ErinWeeks

im so confused on what to do I might just guess lbvs...

13. Carolin

m = 3/2

14. Carolin

y = mx + b 8 = (3/2)(4) + b 8 = 6 + b b = 8 -6 = 2 then, rewrite the equation: y = mx + b y = 3/2 x + 2 That the final answer

15. ErinWeeks

Oh you times by 4 DURR! Thank you so much I really appreciate it that makes so much more sense! Thank you again :)

16. ErinWeeks

so y=3/2x+2 is my answer?

17. Carolin

yup :)

18. Carolin

welcome^^

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