Answer:
[tex]y - 5 = \frac{1}{3}(x+2)[/tex]
Step-by-step explanation:
Point-slope form: y- y1 = m(x - x1)
Given:
Slope(m) = [tex]\frac{1}{3}[/tex]
Point(x1, y1): (-2, 5)
To write the equation in point-slope form, input the given values of the point and slope into the equation format:
y - y1 = m(x - x1)
[tex]y - 5 = \frac{1}{3} (x-(-2))[/tex]
[tex]y - 5 = \frac{1}{3} (x+2)[/tex]
The equation in point slope form is: [tex]y - 5 = \frac{1}{3} (x+2)[/tex]