Determine the linear equation from the graph below.1 Height of a balloon3+.....Height (1000 ft)10 20 30 40 50 60Time (sec)

Answer:  [tex]y=\frac{1}{30}x+1[/tex]Step-by-step explanation: The equation of the line in Slope-Intercept form is: [tex]y=mx+b[/tex] Where "m" is the slope and "b" is the y-intercept. The slope of the line can be calculated with this formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] Pick to  points of the given line. You can choose the point (60,3) and the point (30,2). Then, substituting into the formula, you get:  [tex]m=\frac{2-3}{30-60}=\frac{1}{30}[/tex] You can observe in the graph that the line intercepts the y-axis at the point (0,1), therefore "b" is: [tex]b=1[/tex] Substituting the slope and the y-intercept found into  [tex]y=mx+b[/tex], you get the equation of this line:  [tex]y=\frac{1}{30}x+1[/tex] Where "y" represents the Height (1,000 ft) and "x" represents the Time in seconds.