Answer:
The answer is
[tex]y = \frac{2}{3} x + 3[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To write an equation of a line given a point and slope we have
y - y1 = m( x - x1)
where (x1 , y1 ) is the point and m is the slope
Equation of the line using point P(3 , 5) and m = 2/3 is
[tex] y - 5 = \frac{2}{3} (x - 3)[/tex]
[tex]y - 5 = \frac{2}{3} x - 2[/tex]
[tex]y = \frac{2}{3} x + 5 - 2[/tex]
We have the final answer as
[tex]y = \frac{2}{3} x + 3[/tex]
Hope this helps you
