The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept → (0, b)
We have two points:
(-3, -2) and (0, 2) → b = 2
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Substitute:
[tex]m=\dfrac{2-(-2)}{0-(-3)}=\dfrac{4}{3}[/tex]
Answer:
[tex]\boxed{Slope:\ \dfrac{4}{3}}[/tex]
[tex]\boxed{y-intercept:\ 2}[/tex]
[tex]\boxed{Equation:\ y=\dfrac{4}{3}x+2}[/tex]
