Answer:
[tex]y = \frac{1}{3} x - 2[/tex] (But I can't find it in your options)
Step-by-step explanation:
The coordinates are (0,-2) and (6,0)
Finding the slope:
=> Slope = [tex]\frac{rise}{run}[/tex]
=> Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
=> Slope = [tex]\frac{0+2}{6-0}[/tex]
=> Slope = 2/6
=> Slope = m = 1/3
Finding the y-intercept:
y-intercept = b = -2
Because this is the point where x = 0 According to coordinate (0, -2)
So, the slope intercept equation becomes:
=> [tex]y = mx+b[/tex]
=> [tex]y = \frac{1}{3} x - 2[/tex]
