Question

Which of the following is a correct equation for the line passing through the point (-3,2) and having slope m=2/3.

Check all that apply.

A.) y-2=2/3(x+3)
B.) 2x-3y=-12
C.) y=2/3x+4
D.) y=2/3x

Answer 1

y-2=2/3(x+3)
2x-3y=-12
y=2/3x+4

Answer 2

Explanation:

Given :
`(x_1,y_1)=(-3,2)`

`m=(2)/(3)`

Solution:

Equation of line:
`y-y_1 = m(x-x_1)`

Substituting the given values

⇒
`y-2= (2)/(3)(x-[-3])`

⇒
`y-2= (2)/(3)(x+3)` --A

⇒
`3y-6= 2x+6`

⇒
`2x-3y = -6-6`

⇒
`2x-3y =-12` ---B

⇒
`2x+12 =3y`

⇒
`(2x+12)/(3) =y`

⇒
`(2)/(3)x+4 =y` ---C

Hence Equation A ,B and C are the correct equations