write the equation for this line in slope intercept form

Answer:
y = [tex]\frac{3}{2}[/tex]x + 2
Step-by-step explanation:
Slope-intercept form is y = mx + b with m as the slope and b as the y-intercept.
The y-intercept is the point where the line intersects the y- axis.
y = mx + 2
The equation to find slope is [tex]\frac{y1-y2}{x1-x2}[/tex] Two points from the line: (0,2) (4,8)
[tex]\frac{8-2}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
y = [tex]\frac{3}{2}[/tex]x + 2