Question

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

Answer 1

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

2x-3y=-12

y=2/3x+4

Answer 2

`y=(2)/(3)x+4`

Explanation:

Given point is (-3,2) and slope is
`(2)/(3)`

Find the equation of the line

Equation of the line is
`y=mx+b`

where m is the slope and b is the y intercept

slope
`m=(2)/(3)`

To find out b , plug in the given point for x and y'

x is -3 and y is 2

`2=(2)/(3)(-3)+b`

`2=-2+b`

Add 2 on both sides

b= 4

Equation of the line is

`y=(2)/(3)x+4`