The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line? CLEAR CHECK y = -2x + 6 y = 13x – 6 y = 3x – 2 y = 13x – 2

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 = 1/3Finding 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]