Answer:
[tex]y=\frac{2}{3}x+4[/tex]
Step-by-step explanation:
Given point is (-3,2) and slope is [tex]\frac{2}{3}[/tex]
Find the equation of the line
Equation of the line is [tex]y=mx+b[/tex]
where m is the slope and b is the y intercept
slope [tex]m=\frac{2}{3}[/tex]
To find out b , plug in the given point for x and y'
x is -3 and y is 2
[tex]2=\frac{2}{3}(-3)+b[/tex]
[tex]2=-2+b[/tex]
Add 2 on both sides
b= 4
Equation of the line is
[tex]y=\frac{2}{3}x+4[/tex]
