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

Answer:

$y=\frac{2}{3}x+4$

Step-by-step explanation:

Given point is (-3,2) and slope is $\frac{2}{3}$

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  $m=\frac{2}{3}$

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

x is -3 and y is 2

$2=\frac{2}{3}(-3)+b$

$2=-2+b$

Add 2 on both sides

b= 4

Equation of the line is

$y=\frac{2}{3}x+4$