I need help on 3 A and b b Determine the equation of the lin

I need help on 3
A and b

b). Determine the equation of the line parallel to the first line and through the point e). Determine the equation of the line perpendicular to the first line and through the point (-2,-2). 3). An object moving in a straight line at constant velocity has its equation of motion given by: s so + Uot, where s is the position at time t, so is the initial position, and to is the a). What are the slope and y-intercept for this linear model? b). An object is moving at 10 ft/s. At time 5 seconds the object is at position 60 feet. constant speed. What is the initial position so? 4). A manufacturing firm buys a new machine for $150,000. After the machine is fully depre- ciated, it will have a salvage value of $5,000. Assuming a 15-year straight-line depreciation model, what will be the value of the machine after 10 years?

Solution

s= s₀ + v₀t

s=v₀t + s₀

comparing it with slope intercept form which is

y=mx+ b

yintercept ,b=s₀ and slope = v₀

b) s= s₀+v₀t

60= s₀ + 10(5)

s₀=10 ft