anonymous 5 years ago hey guys need a little help!!! (1/4,-1/2) and (3/4,5) this is asking me to find an equation of the line containing the given pair of points. please help!!

1. amistre64

subtract one form the other; slope it; and use the slope point form of an equation to define it

2. anonymous

first find the slope:$m=\frac{y_2-y_1}{x_2-x_1}$ $=\frac{-\frac{1}{2}-5}{\frac{3}{4}-\frac{1}{4}}$

3. anonymous

hello amistre!

4. amistre64

(3/4 ,5) -(1/4,-1/2) ------------ 1/2, 11/2 ; slope = y/x = 11

5. amistre64

hi sat :)

6. amistre64

y = 11(x-1/4)-1/2

7. anonymous

$=\frac{-\frac{11}{2}}{\frac{1}{2}}=-11$

8. anonymous

i got -11 yes?

9. amistre64

y = 11x -11/4-1/2

10. amistre64

nope, both x and y are the same sign

11. anonymous

oops no sorry amistre has it

12. anonymous

you are right it is 11, my fault

13. amistre64

y = 11x -13/4 i thnk

14. amistre64

-44x +4y = -13 44x -4y = 13 maybe?

15. amistre64

the 'equation of a line' can take many forms; general, standard, slope int, slope point, etc..