In 2001 there were 6680 electric-powered vehicles in use in the United States. In 1998 only 4760 electric vehicles were beingused. (Source: U.S. Energy Information Administration)a. Assume that the relationship between time, x, and number of electric-powered vehicles, y, is linear. Write an equation inslope-intercept form describing this relationship. Use ordered pairs of the form (years past 1998, number of vehicles).The equation is . (Type your answer in slope-intercept form.)ISb. Use this equation to predict the number of electric-powered vehicles in use in 2004.|| vehiclesEnter vour answer in each of the answer boxes

Given that, in the year 1998, the number of used electric vehicles is 4760. Since the year 1998 is the initial year, so for this, take the time as x=0 and take the number of used electric vehicles as y=4760. Now, write those values in ordered pairs form. 0, 4760 For the year 2001 (the difference of years 2001 and 1998 is 3) take the time as x=3 and take the number of used electric vehicles as y=6680. Now, write those values in ordered pairs form. 3, 6680 The general form the line is given as: y=ax+b To find the values of a and b. From the point 0, 4760, put x=0, y=4760 in y=ax+b. 4760=a0+b 4760=b Substitute the obtained value of b in y=ax+b. y=ax+4760 From the point 3, 6680, put x=3, y=6680 in y=ax+4760. 6680=a3+47606680-4760=3a1920=3a19203=aa=640 Now, again substitute the obtained value of a in y=ax+47601998, x=0 and 2004-1998=5 y=640x+4760 answer(a): Hence, the required equation of the line in slope-intercept is y=640x+4760 answer(b): To find the number of used vehicles in 2004, put x=5 {because for 1998, x=0 and 2004-1998=5} in y=640x+4760.So, y=6405+4760 y=7960 That is, the number of vehicles used in 2004 is 7960 vehicles.