Question

Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.

Point (10,11); slope= 2/3
answer what I got it 13/3; but when I enter it is says that "you answer is in incorrect forma"; is there another way to enter it?

Answer 1

y=
`(2)/(3)`×+
`4 (1)/(3)`

Explanation:

y=
`(2)/(3)`×+b

11=
`(2)/(3)`(10)+b

11=20/3+b

20/3=6
`(2)/(3)`

: Converted to a mixed fraction.

11= 6
`(2)/(3)`x+b

-6
`(2)/(3)` -6
`(2)/(3)`

4
`(1)/(3)`=b

Check:

y=
`(2)/(3)`×+
`4 (1)/(3)`

11=
`(2)/(3)`(10)+
`4 (1)/(3)`

11=20/3+13/3

11=33/3

11=11

True.

Hope this helps!!